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Finding the Third Proportional to 132,771 and 286,670

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Solution

The third proportional to 132,771 and 286,670 is: 618,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,771 : 286,670 = 286,670 : x
  2. Step 2: Convert to fraction form
    132,771/286,670 = 286,670/x
  3. Step 3: Cross multiply
    132,771x = 286,670 × 286,670
  4. Step 4: Simplify right side
    132,771x = 82,179,688,900
  5. Step 5: Solve for x
    x = 82,179,688,900/132,771
  6. Step 6: Final answer
    x = 618,958.12

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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.