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Finding the Third Proportional to 119,562.75 and 261,360

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Solution

The third proportional to 119,562.75 and 261,360 is: 571,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,562.75 : 261,360 = 261,360 : x
  2. Step 2: Convert to fraction form
    119,562.75/261,360 = 261,360/x
  3. Step 3: Cross multiply
    119,562.75x = 261,360 × 261,360
  4. Step 4: Simplify right side
    119,562.75x = 68,309,049,600
  5. Step 5: Solve for x
    x = 68,309,049,600/119,562.75
  6. Step 6: Final answer
    x = 571,323.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.