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Finding the Third Proportional to 140,271 and 217,302

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Solution

The third proportional to 140,271 and 217,302 is: 336,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,271 : 217,302 = 217,302 : x
  2. Step 2: Convert to fraction form
    140,271/217,302 = 217,302/x
  3. Step 3: Cross multiply
    140,271x = 217,302 × 217,302
  4. Step 4: Simplify right side
    140,271x = 47,220,159,204
  5. Step 5: Solve for x
    x = 47,220,159,204/140,271
  6. Step 6: Final answer
    x = 336,635.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.