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Finding the Third Proportional to 132,799 and 286,725

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Solution

The third proportional to 132,799 and 286,725 is: 619,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,799 : 286,725 = 286,725 : x
  2. Step 2: Convert to fraction form
    132,799/286,725 = 286,725/x
  3. Step 3: Cross multiply
    132,799x = 286,725 × 286,725
  4. Step 4: Simplify right side
    132,799x = 82,211,225,625
  5. Step 5: Solve for x
    x = 82,211,225,625/132,799
  6. Step 6: Final answer
    x = 619,065.10

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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.