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Finding the Third Proportional to 101,882 and 224,492

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Solution

The third proportional to 101,882 and 224,492 is: 494,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,882 : 224,492 = 224,492 : x
  2. Step 2: Convert to fraction form
    101,882/224,492 = 224,492/x
  3. Step 3: Cross multiply
    101,882x = 224,492 × 224,492
  4. Step 4: Simplify right side
    101,882x = 50,396,658,064
  5. Step 5: Solve for x
    x = 50,396,658,064/101,882
  6. Step 6: Final answer
    x = 494,657.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.