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Finding the Third Proportional to 153,357 and 337,170

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Solution

The third proportional to 153,357 and 337,170 is: 741,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,357 : 337,170 = 337,170 : x
  2. Step 2: Convert to fraction form
    153,357/337,170 = 337,170/x
  3. Step 3: Cross multiply
    153,357x = 337,170 × 337,170
  4. Step 4: Simplify right side
    153,357x = 113,683,608,900
  5. Step 5: Solve for x
    x = 113,683,608,900/153,357
  6. Step 6: Final answer
    x = 741,300.42

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