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Finding the Third Proportional to 132,800 and 286,336

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Solution

The third proportional to 132,800 and 286,336 is: 617,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,800 : 286,336 = 286,336 : x
  2. Step 2: Convert to fraction form
    132,800/286,336 = 286,336/x
  3. Step 3: Cross multiply
    132,800x = 286,336 × 286,336
  4. Step 4: Simplify right side
    132,800x = 81,988,304,896
  5. Step 5: Solve for x
    x = 81,988,304,896/132,800
  6. Step 6: Final answer
    x = 617,381.81

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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.