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Finding the Third Proportional to 150,387 and 334,397.25

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Solution

The third proportional to 150,387 and 334,397.25 is: 743,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,387 : 334,397.25 = 334,397.25 : x
  2. Step 2: Convert to fraction form
    150,387/334,397.25 = 334,397.25/x
  3. Step 3: Cross multiply
    150,387x = 334,397.25 × 334,397.25
  4. Step 4: Simplify right side
    150,387x = 111,821,520,807.56
  5. Step 5: Solve for x
    x = 111,821,520,807.56/150,387
  6. Step 6: Final answer
    x = 743,558.42

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.