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Finding the Third Proportional to 224,902 and 338,001

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Solution

The third proportional to 224,902 and 338,001 is: 507,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,902 : 338,001 = 338,001 : x
  2. Step 2: Convert to fraction form
    224,902/338,001 = 338,001/x
  3. Step 3: Cross multiply
    224,902x = 338,001 × 338,001
  4. Step 4: Simplify right side
    224,902x = 114,244,676,001
  5. Step 5: Solve for x
    x = 114,244,676,001/224,902
  6. Step 6: Final answer
    x = 507,975.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.