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Finding the Third Proportional to 220,808 and 295,612

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Solution

The third proportional to 220,808 and 295,612 is: 395,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,808 : 295,612 = 295,612 : x
  2. Step 2: Convert to fraction form
    220,808/295,612 = 295,612/x
  3. Step 3: Cross multiply
    220,808x = 295,612 × 295,612
  4. Step 4: Simplify right side
    220,808x = 87,386,454,544
  5. Step 5: Solve for x
    x = 87,386,454,544/220,808
  6. Step 6: Final answer
    x = 395,757.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.