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Finding the Third Proportional to 218,880 and 338,031

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Solution

The third proportional to 218,880 and 338,031 is: 522,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,880 : 338,031 = 338,031 : x
  2. Step 2: Convert to fraction form
    218,880/338,031 = 338,031/x
  3. Step 3: Cross multiply
    218,880x = 338,031 × 338,031
  4. Step 4: Simplify right side
    218,880x = 114,264,956,961
  5. Step 5: Solve for x
    x = 114,264,956,961/218,880
  6. Step 6: Final answer
    x = 522,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.