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Finding the Third Proportional to 132,648 and 288,624

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Solution

The third proportional to 132,648 and 288,624 is: 628,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,648 : 288,624 = 288,624 : x
  2. Step 2: Convert to fraction form
    132,648/288,624 = 288,624/x
  3. Step 3: Cross multiply
    132,648x = 288,624 × 288,624
  4. Step 4: Simplify right side
    132,648x = 83,303,813,376
  5. Step 5: Solve for x
    x = 83,303,813,376/132,648
  6. Step 6: Final answer
    x = 628,006.55

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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.