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Finding the Third Proportional to 132,429.09 and 271,837.69

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Solution

The third proportional to 132,429.09 and 271,837.69 is: 558,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,429.09 : 271,837.69 = 271,837.69 : x
  2. Step 2: Convert to fraction form
    132,429.09/271,837.69 = 271,837.69/x
  3. Step 3: Cross multiply
    132,429.09x = 271,837.69 × 271,837.69
  4. Step 4: Simplify right side
    132,429.09x = 73,895,728,345.35
  5. Step 5: Solve for x
    x = 73,895,728,345.35/132,429.09
  6. Step 6: Final answer
    x = 558,002.22

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.