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Finding the Third Proportional to 149,882 and 313,624

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Solution

The third proportional to 149,882 and 313,624 is: 656,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,882 : 313,624 = 313,624 : x
  2. Step 2: Convert to fraction form
    149,882/313,624 = 313,624/x
  3. Step 3: Cross multiply
    149,882x = 313,624 × 313,624
  4. Step 4: Simplify right side
    149,882x = 98,360,013,376
  5. Step 5: Solve for x
    x = 98,360,013,376/149,882
  6. Step 6: Final answer
    x = 656,249.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.