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Finding the Third Proportional to 149,720 and 224,581

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Solution

The third proportional to 149,720 and 224,581 is: 336,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,720 : 224,581 = 224,581 : x
  2. Step 2: Convert to fraction form
    149,720/224,581 = 224,581/x
  3. Step 3: Cross multiply
    149,720x = 224,581 × 224,581
  4. Step 4: Simplify right side
    149,720x = 50,436,625,561
  5. Step 5: Solve for x
    x = 50,436,625,561/149,720
  6. Step 6: Final answer
    x = 336,873.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.