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Finding the Third Proportional to 132,771 and 286,671

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Solution

The third proportional to 132,771 and 286,671 is: 618,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,771 : 286,671 = 286,671 : x
  2. Step 2: Convert to fraction form
    132,771/286,671 = 286,671/x
  3. Step 3: Cross multiply
    132,771x = 286,671 × 286,671
  4. Step 4: Simplify right side
    132,771x = 82,180,262,241
  5. Step 5: Solve for x
    x = 82,180,262,241/132,771
  6. Step 6: Final answer
    x = 618,962.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.