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Finding the Third Proportional to 153,747.75 and 337,764.75

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Solution

The third proportional to 153,747.75 and 337,764.75 is: 742,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,747.75 : 337,764.75 = 337,764.75 : x
  2. Step 2: Convert to fraction form
    153,747.75/337,764.75 = 337,764.75/x
  3. Step 3: Cross multiply
    153,747.75x = 337,764.75 × 337,764.75
  4. Step 4: Simplify right side
    153,747.75x = 114,085,026,342.56
  5. Step 5: Solve for x
    x = 114,085,026,342.56/153,747.75
  6. Step 6: Final answer
    x = 742,027.29

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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.