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Finding the Third Proportional to 157,749 and 337,644

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Solution

The third proportional to 157,749 and 337,644 is: 722,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,749 : 337,644 = 337,644 : x
  2. Step 2: Convert to fraction form
    157,749/337,644 = 337,644/x
  3. Step 3: Cross multiply
    157,749x = 337,644 × 337,644
  4. Step 4: Simplify right side
    157,749x = 114,003,470,736
  5. Step 5: Solve for x
    x = 114,003,470,736/157,749
  6. Step 6: Final answer
    x = 722,689.02

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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.