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Finding the Third Proportional to 149,157 and 324,549

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Solution

The third proportional to 149,157 and 324,549 is: 706,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,157 : 324,549 = 324,549 : x
  2. Step 2: Convert to fraction form
    149,157/324,549 = 324,549/x
  3. Step 3: Cross multiply
    149,157x = 324,549 × 324,549
  4. Step 4: Simplify right side
    149,157x = 105,332,053,401
  5. Step 5: Solve for x
    x = 105,332,053,401/149,157
  6. Step 6: Final answer
    x = 706,182.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.