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Finding the Third Proportional to 117,013.50 and 251,531

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Solution

The third proportional to 117,013.50 and 251,531 is: 540,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,013.50 : 251,531 = 251,531 : x
  2. Step 2: Convert to fraction form
    117,013.50/251,531 = 251,531/x
  3. Step 3: Cross multiply
    117,013.50x = 251,531 × 251,531
  4. Step 4: Simplify right side
    117,013.50x = 63,267,843,961
  5. Step 5: Solve for x
    x = 63,267,843,961/117,013.50
  6. Step 6: Final answer
    x = 540,688.42

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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.