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Finding the Third Proportional to 116,833.50 and 254,169

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Solution

The third proportional to 116,833.50 and 254,169 is: 552,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,833.50 : 254,169 = 254,169 : x
  2. Step 2: Convert to fraction form
    116,833.50/254,169 = 254,169/x
  3. Step 3: Cross multiply
    116,833.50x = 254,169 × 254,169
  4. Step 4: Simplify right side
    116,833.50x = 64,601,880,561
  5. Step 5: Solve for x
    x = 64,601,880,561/116,833.50
  6. Step 6: Final answer
    x = 552,939.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.