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Finding the Third Proportional to 230,181.75 and 291,691.13

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Solution

The third proportional to 230,181.75 and 291,691.13 is: 369,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,181.75 : 291,691.13 = 291,691.13 : x
  2. Step 2: Convert to fraction form
    230,181.75/291,691.13 = 291,691.13/x
  3. Step 3: Cross multiply
    230,181.75x = 291,691.13 × 291,691.13
  4. Step 4: Simplify right side
    230,181.75x = 85,083,712,403.77
  5. Step 5: Solve for x
    x = 85,083,712,403.77/230,181.75
  6. Step 6: Final answer
    x = 369,637.09

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.