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Finding the Third Proportional to 138,624 and 223,248

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Solution

The third proportional to 138,624 and 223,248 is: 359,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,624 : 223,248 = 223,248 : x
  2. Step 2: Convert to fraction form
    138,624/223,248 = 223,248/x
  3. Step 3: Cross multiply
    138,624x = 223,248 × 223,248
  4. Step 4: Simplify right side
    138,624x = 49,839,669,504
  5. Step 5: Solve for x
    x = 49,839,669,504/138,624
  6. Step 6: Final answer
    x = 359,531.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.