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Finding the Third Proportional to 119,862.75 and 258,406.13

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Solution

The third proportional to 119,862.75 and 258,406.13 is: 557,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,862.75 : 258,406.13 = 258,406.13 : x
  2. Step 2: Convert to fraction form
    119,862.75/258,406.13 = 258,406.13/x
  3. Step 3: Cross multiply
    119,862.75x = 258,406.13 × 258,406.13
  4. Step 4: Simplify right side
    119,862.75x = 66,773,725,437.52
  5. Step 5: Solve for x
    x = 66,773,725,437.52/119,862.75
  6. Step 6: Final answer
    x = 557,084.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.