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Finding the Third Proportional to 108,616.50 and 233,578.13

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Solution

The third proportional to 108,616.50 and 233,578.13 is: 502,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,616.50 : 233,578.13 = 233,578.13 : x
  2. Step 2: Convert to fraction form
    108,616.50/233,578.13 = 233,578.13/x
  3. Step 3: Cross multiply
    108,616.50x = 233,578.13 × 233,578.13
  4. Step 4: Simplify right side
    108,616.50x = 54,558,740,478.52
  5. Step 5: Solve for x
    x = 54,558,740,478.52/108,616.50
  6. Step 6: Final answer
    x = 502,306.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.