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Finding the Third Proportional to 140,395 and 218,207

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Solution

The third proportional to 140,395 and 218,207 is: 339,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,395 : 218,207 = 218,207 : x
  2. Step 2: Convert to fraction form
    140,395/218,207 = 218,207/x
  3. Step 3: Cross multiply
    140,395x = 218,207 × 218,207
  4. Step 4: Simplify right side
    140,395x = 47,614,294,849
  5. Step 5: Solve for x
    x = 47,614,294,849/140,395
  6. Step 6: Final answer
    x = 339,145.23

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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.