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Finding the Third Proportional to 132,802 and 286,734

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Solution

The third proportional to 132,802 and 286,734 is: 619,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,802 : 286,734 = 286,734 : x
  2. Step 2: Convert to fraction form
    132,802/286,734 = 286,734/x
  3. Step 3: Cross multiply
    132,802x = 286,734 × 286,734
  4. Step 4: Simplify right side
    132,802x = 82,216,386,756
  5. Step 5: Solve for x
    x = 82,216,386,756/132,802
  6. Step 6: Final answer
    x = 619,089.97

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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.