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Finding the Third Proportional to 149,608 and 218,624

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Solution

The third proportional to 149,608 and 218,624 is: 319,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,608 : 218,624 = 218,624 : x
  2. Step 2: Convert to fraction form
    149,608/218,624 = 218,624/x
  3. Step 3: Cross multiply
    149,608x = 218,624 × 218,624
  4. Step 4: Simplify right side
    149,608x = 47,796,453,376
  5. Step 5: Solve for x
    x = 47,796,453,376/149,608
  6. Step 6: Final answer
    x = 319,477.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.