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Finding the Third Proportional to 148,821 and 224,571

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Solution

The third proportional to 148,821 and 224,571 is: 338,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,821 : 224,571 = 224,571 : x
  2. Step 2: Convert to fraction form
    148,821/224,571 = 224,571/x
  3. Step 3: Cross multiply
    148,821x = 224,571 × 224,571
  4. Step 4: Simplify right side
    148,821x = 50,432,134,041
  5. Step 5: Solve for x
    x = 50,432,134,041/148,821
  6. Step 6: Final answer
    x = 338,877.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.