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Finding the Third Proportional to 132,714 and 288,752

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Solution

The third proportional to 132,714 and 288,752 is: 628,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,714 : 288,752 = 288,752 : x
  2. Step 2: Convert to fraction form
    132,714/288,752 = 288,752/x
  3. Step 3: Cross multiply
    132,714x = 288,752 × 288,752
  4. Step 4: Simplify right side
    132,714x = 83,377,717,504
  5. Step 5: Solve for x
    x = 83,377,717,504/132,714
  6. Step 6: Final answer
    x = 628,251.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.