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Finding the Third Proportional to 132,146 and 285,028

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Solution

The third proportional to 132,146 and 285,028 is: 614,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146 : 285,028 = 285,028 : x
  2. Step 2: Convert to fraction form
    132,146/285,028 = 285,028/x
  3. Step 3: Cross multiply
    132,146x = 285,028 × 285,028
  4. Step 4: Simplify right side
    132,146x = 81,240,960,784
  5. Step 5: Solve for x
    x = 81,240,960,784/132,146
  6. Step 6: Final answer
    x = 614,781.84

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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.