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Finding the Third Proportional to 134,733 and 224,564

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Solution

The third proportional to 134,733 and 224,564 is: 374,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,733 : 224,564 = 224,564 : x
  2. Step 2: Convert to fraction form
    134,733/224,564 = 224,564/x
  3. Step 3: Cross multiply
    134,733x = 224,564 × 224,564
  4. Step 4: Simplify right side
    134,733x = 50,428,990,096
  5. Step 5: Solve for x
    x = 50,428,990,096/134,733
  6. Step 6: Final answer
    x = 374,288.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.