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Finding the Third Proportional to 152,241 and 337,122

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Solution

The third proportional to 152,241 and 337,122 is: 746,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,241 : 337,122 = 337,122 : x
  2. Step 2: Convert to fraction form
    152,241/337,122 = 337,122/x
  3. Step 3: Cross multiply
    152,241x = 337,122 × 337,122
  4. Step 4: Simplify right side
    152,241x = 113,651,242,884
  5. Step 5: Solve for x
    x = 113,651,242,884/152,241
  6. Step 6: Final answer
    x = 746,521.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.