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Finding the Third Proportional to 152,240 and 337,120

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Solution

The third proportional to 152,240 and 337,120 is: 746,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,240 : 337,120 = 337,120 : x
  2. Step 2: Convert to fraction form
    152,240/337,120 = 337,120/x
  3. Step 3: Cross multiply
    152,240x = 337,120 × 337,120
  4. Step 4: Simplify right side
    152,240x = 113,649,894,400
  5. Step 5: Solve for x
    x = 113,649,894,400/152,240
  6. Step 6: Final answer
    x = 746,517.96

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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.