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Finding the Third Proportional to 116,461.50 and 250,755

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Solution

The third proportional to 116,461.50 and 250,755 is: 539,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.50 : 250,755 = 250,755 : x
  2. Step 2: Convert to fraction form
    116,461.50/250,755 = 250,755/x
  3. Step 3: Cross multiply
    116,461.50x = 250,755 × 250,755
  4. Step 4: Simplify right side
    116,461.50x = 62,878,070,025
  5. Step 5: Solve for x
    x = 62,878,070,025/116,461.50
  6. Step 6: Final answer
    x = 539,904.35

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