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Finding the Third Proportional to 119,861.25 and 258,403

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Solution

The third proportional to 119,861.25 and 258,403 is: 557,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,861.25 : 258,403 = 258,403 : x
  2. Step 2: Convert to fraction form
    119,861.25/258,403 = 258,403/x
  3. Step 3: Cross multiply
    119,861.25x = 258,403 × 258,403
  4. Step 4: Simplify right side
    119,861.25x = 66,772,110,409
  5. Step 5: Solve for x
    x = 66,772,110,409/119,861.25
  6. Step 6: Final answer
    x = 557,078.38

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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.