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Finding the Third Proportional to 174,472 and 268,500

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Solution

The third proportional to 174,472 and 268,500 is: 413,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,472 : 268,500 = 268,500 : x
  2. Step 2: Convert to fraction form
    174,472/268,500 = 268,500/x
  3. Step 3: Cross multiply
    174,472x = 268,500 × 268,500
  4. Step 4: Simplify right side
    174,472x = 72,092,250,000
  5. Step 5: Solve for x
    x = 72,092,250,000/174,472
  6. Step 6: Final answer
    x = 413,202.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.