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Finding the Third Proportional to 223,624 and 338,344

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Solution

The third proportional to 223,624 and 338,344 is: 511,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,624 : 338,344 = 338,344 : x
  2. Step 2: Convert to fraction form
    223,624/338,344 = 338,344/x
  3. Step 3: Cross multiply
    223,624x = 338,344 × 338,344
  4. Step 4: Simplify right side
    223,624x = 114,476,662,336
  5. Step 5: Solve for x
    x = 114,476,662,336/223,624
  6. Step 6: Final answer
    x = 511,915.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.