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Finding the Third Proportional to 144,414 and 217,251

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Solution

The third proportional to 144,414 and 217,251 is: 326,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,414 : 217,251 = 217,251 : x
  2. Step 2: Convert to fraction form
    144,414/217,251 = 217,251/x
  3. Step 3: Cross multiply
    144,414x = 217,251 × 217,251
  4. Step 4: Simplify right side
    144,414x = 47,197,997,001
  5. Step 5: Solve for x
    x = 47,197,997,001/144,414
  6. Step 6: Final answer
    x = 326,824.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.