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Finding the Third Proportional to 220,832 and 342,578

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Solution

The third proportional to 220,832 and 342,578 is: 531,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,832 : 342,578 = 342,578 : x
  2. Step 2: Convert to fraction form
    220,832/342,578 = 342,578/x
  3. Step 3: Cross multiply
    220,832x = 342,578 × 342,578
  4. Step 4: Simplify right side
    220,832x = 117,359,686,084
  5. Step 5: Solve for x
    x = 117,359,686,084/220,832
  6. Step 6: Final answer
    x = 531,443.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.