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Finding the Third Proportional to 153,749 and 337,767

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Solution

The third proportional to 153,749 and 337,767 is: 742,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,749 : 337,767 = 337,767 : x
  2. Step 2: Convert to fraction form
    153,749/337,767 = 337,767/x
  3. Step 3: Cross multiply
    153,749x = 337,767 × 337,767
  4. Step 4: Simplify right side
    153,749x = 114,086,546,289
  5. Step 5: Solve for x
    x = 114,086,546,289/153,749
  6. Step 6: Final answer
    x = 742,031.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.