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Finding the Third Proportional to 116,899.50 and 253,725

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Solution

The third proportional to 116,899.50 and 253,725 is: 550,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,899.50 : 253,725 = 253,725 : x
  2. Step 2: Convert to fraction form
    116,899.50/253,725 = 253,725/x
  3. Step 3: Cross multiply
    116,899.50x = 253,725 × 253,725
  4. Step 4: Simplify right side
    116,899.50x = 64,376,375,625
  5. Step 5: Solve for x
    x = 64,376,375,625/116,899.50
  6. Step 6: Final answer
    x = 550,698.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.