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Finding the Third Proportional to 174,746 and 261,849

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Solution

The third proportional to 174,746 and 261,849 is: 392,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,746 : 261,849 = 261,849 : x
  2. Step 2: Convert to fraction form
    174,746/261,849 = 261,849/x
  3. Step 3: Cross multiply
    174,746x = 261,849 × 261,849
  4. Step 4: Simplify right side
    174,746x = 68,564,898,801
  5. Step 5: Solve for x
    x = 68,564,898,801/174,746
  6. Step 6: Final answer
    x = 392,368.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.