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Finding the Third Proportional to 132,786 and 286,713

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Solution

The third proportional to 132,786 and 286,713 is: 619,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786 : 286,713 = 286,713 : x
  2. Step 2: Convert to fraction form
    132,786/286,713 = 286,713/x
  3. Step 3: Cross multiply
    132,786x = 286,713 × 286,713
  4. Step 4: Simplify right side
    132,786x = 82,204,344,369
  5. Step 5: Solve for x
    x = 82,204,344,369/132,786
  6. Step 6: Final answer
    x = 619,073.88

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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.