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Finding the Third Proportional to 132,034 and 283,022

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Solution

The third proportional to 132,034 and 283,022 is: 606,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,034 : 283,022 = 283,022 : x
  2. Step 2: Convert to fraction form
    132,034/283,022 = 283,022/x
  3. Step 3: Cross multiply
    132,034x = 283,022 × 283,022
  4. Step 4: Simplify right side
    132,034x = 80,101,452,484
  5. Step 5: Solve for x
    x = 80,101,452,484/132,034
  6. Step 6: Final answer
    x = 606,672.92

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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.