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Finding the Third Proportional to 176,410.13 and 266,257.13

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Solution

The third proportional to 176,410.13 and 266,257.13 is: 401,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,410.13 : 266,257.13 = 266,257.13 : x
  2. Step 2: Convert to fraction form
    176,410.13/266,257.13 = 266,257.13/x
  3. Step 3: Cross multiply
    176,410.13x = 266,257.13 × 266,257.13
  4. Step 4: Simplify right side
    176,410.13x = 70,892,856,613.27
  5. Step 5: Solve for x
    x = 70,892,856,613.27/176,410.13
  6. Step 6: Final answer
    x = 401,863.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.