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Finding the Third Proportional to 116,707.50 and 256,011.75

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Solution

The third proportional to 116,707.50 and 256,011.75 is: 561,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,707.50 : 256,011.75 = 256,011.75 : x
  2. Step 2: Convert to fraction form
    116,707.50/256,011.75 = 256,011.75/x
  3. Step 3: Cross multiply
    116,707.50x = 256,011.75 × 256,011.75
  4. Step 4: Simplify right side
    116,707.50x = 65,542,016,138.06
  5. Step 5: Solve for x
    x = 65,542,016,138.06/116,707.50
  6. Step 6: Final answer
    x = 561,592.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.