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Finding the Third Proportional to 135,996 and 224,748

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Solution

The third proportional to 135,996 and 224,748 is: 371,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,996 : 224,748 = 224,748 : x
  2. Step 2: Convert to fraction form
    135,996/224,748 = 224,748/x
  3. Step 3: Cross multiply
    135,996x = 224,748 × 224,748
  4. Step 4: Simplify right side
    135,996x = 50,511,663,504
  5. Step 5: Solve for x
    x = 50,511,663,504/135,996
  6. Step 6: Final answer
    x = 371,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.