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Finding the Third Proportional to 132,414 and 283,774

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Solution

The third proportional to 132,414 and 283,774 is: 608,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414 : 283,774 = 283,774 : x
  2. Step 2: Convert to fraction form
    132,414/283,774 = 283,774/x
  3. Step 3: Cross multiply
    132,414x = 283,774 × 283,774
  4. Step 4: Simplify right side
    132,414x = 80,527,683,076
  5. Step 5: Solve for x
    x = 80,527,683,076/132,414
  6. Step 6: Final answer
    x = 608,150.82

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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.