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Finding the Third Proportional to 157,395 and 337,228

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Solution

The third proportional to 157,395 and 337,228 is: 722,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,395 : 337,228 = 337,228 : x
  2. Step 2: Convert to fraction form
    157,395/337,228 = 337,228/x
  3. Step 3: Cross multiply
    157,395x = 337,228 × 337,228
  4. Step 4: Simplify right side
    157,395x = 113,722,723,984
  5. Step 5: Solve for x
    x = 113,722,723,984/157,395
  6. Step 6: Final answer
    x = 722,530.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.