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Finding the Third Proportional to 153,112 and 337,976

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Solution

The third proportional to 153,112 and 337,976 is: 746,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,112 : 337,976 = 337,976 : x
  2. Step 2: Convert to fraction form
    153,112/337,976 = 337,976/x
  3. Step 3: Cross multiply
    153,112x = 337,976 × 337,976
  4. Step 4: Simplify right side
    153,112x = 114,227,776,576
  5. Step 5: Solve for x
    x = 114,227,776,576/153,112
  6. Step 6: Final answer
    x = 746,040.65

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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.