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Finding the Third Proportional to 133,726 and 288,350

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Solution

The third proportional to 133,726 and 288,350 is: 621,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,726 : 288,350 = 288,350 : x
  2. Step 2: Convert to fraction form
    133,726/288,350 = 288,350/x
  3. Step 3: Cross multiply
    133,726x = 288,350 × 288,350
  4. Step 4: Simplify right side
    133,726x = 83,145,722,500
  5. Step 5: Solve for x
    x = 83,145,722,500/133,726
  6. Step 6: Final answer
    x = 621,761.83

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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.