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Finding the Third Proportional to 116,617.50 and 243,591.75

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Solution

The third proportional to 116,617.50 and 243,591.75 is: 508,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,617.50 : 243,591.75 = 243,591.75 : x
  2. Step 2: Convert to fraction form
    116,617.50/243,591.75 = 243,591.75/x
  3. Step 3: Cross multiply
    116,617.50x = 243,591.75 × 243,591.75
  4. Step 4: Simplify right side
    116,617.50x = 59,336,940,668.06
  5. Step 5: Solve for x
    x = 59,336,940,668.06/116,617.50
  6. Step 6: Final answer
    x = 508,816.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.