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Finding the Third Proportional to 132,991 and 284,665

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Solution

The third proportional to 132,991 and 284,665 is: 609,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,991 : 284,665 = 284,665 : x
  2. Step 2: Convert to fraction form
    132,991/284,665 = 284,665/x
  3. Step 3: Cross multiply
    132,991x = 284,665 × 284,665
  4. Step 4: Simplify right side
    132,991x = 81,034,162,225
  5. Step 5: Solve for x
    x = 81,034,162,225/132,991
  6. Step 6: Final answer
    x = 609,320.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.