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Finding the Third Proportional to 132,444 and 288,688

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Solution

The third proportional to 132,444 and 288,688 is: 629,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,444 : 288,688 = 288,688 : x
  2. Step 2: Convert to fraction form
    132,444/288,688 = 288,688/x
  3. Step 3: Cross multiply
    132,444x = 288,688 × 288,688
  4. Step 4: Simplify right side
    132,444x = 83,340,761,344
  5. Step 5: Solve for x
    x = 83,340,761,344/132,444
  6. Step 6: Final answer
    x = 629,252.83

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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.