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Finding the Third Proportional to 132,062 and 284,658

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Solution

The third proportional to 132,062 and 284,658 is: 613,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,062 : 284,658 = 284,658 : x
  2. Step 2: Convert to fraction form
    132,062/284,658 = 284,658/x
  3. Step 3: Cross multiply
    132,062x = 284,658 × 284,658
  4. Step 4: Simplify right side
    132,062x = 81,030,176,964
  5. Step 5: Solve for x
    x = 81,030,176,964/132,062
  6. Step 6: Final answer
    x = 613,576.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.