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Finding the Third Proportional to 132,352 and 283,172

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Solution

The third proportional to 132,352 and 283,172 is: 605,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,352 : 283,172 = 283,172 : x
  2. Step 2: Convert to fraction form
    132,352/283,172 = 283,172/x
  3. Step 3: Cross multiply
    132,352x = 283,172 × 283,172
  4. Step 4: Simplify right side
    132,352x = 80,186,381,584
  5. Step 5: Solve for x
    x = 80,186,381,584/132,352
  6. Step 6: Final answer
    x = 605,856.97

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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.