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Finding the Third Proportional to 119,232 and 261,972

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Solution

The third proportional to 119,232 and 261,972 is: 575,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,232 : 261,972 = 261,972 : x
  2. Step 2: Convert to fraction form
    119,232/261,972 = 261,972/x
  3. Step 3: Cross multiply
    119,232x = 261,972 × 261,972
  4. Step 4: Simplify right side
    119,232x = 68,629,328,784
  5. Step 5: Solve for x
    x = 68,629,328,784/119,232
  6. Step 6: Final answer
    x = 575,594.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.