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Finding the Third Proportional to 171,234 and 268,606.13

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Solution

The third proportional to 171,234 and 268,606.13 is: 421,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,234 : 268,606.13 = 268,606.13 : x
  2. Step 2: Convert to fraction form
    171,234/268,606.13 = 268,606.13/x
  3. Step 3: Cross multiply
    171,234x = 268,606.13 × 268,606.13
  4. Step 4: Simplify right side
    171,234x = 72,149,250,387.52
  5. Step 5: Solve for x
    x = 72,149,250,387.52/171,234
  6. Step 6: Final answer
    x = 421,348.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.