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Finding the Third Proportional to 132,870 and 283,478

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Solution

The third proportional to 132,870 and 283,478 is: 604,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,870 : 283,478 = 283,478 : x
  2. Step 2: Convert to fraction form
    132,870/283,478 = 283,478/x
  3. Step 3: Cross multiply
    132,870x = 283,478 × 283,478
  4. Step 4: Simplify right side
    132,870x = 80,359,776,484
  5. Step 5: Solve for x
    x = 80,359,776,484/132,870
  6. Step 6: Final answer
    x = 604,800.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.