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Finding the Third Proportional to 138,919 and 215,243

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Solution

The third proportional to 138,919 and 215,243 is: 333,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,919 : 215,243 = 215,243 : x
  2. Step 2: Convert to fraction form
    138,919/215,243 = 215,243/x
  3. Step 3: Cross multiply
    138,919x = 215,243 × 215,243
  4. Step 4: Simplify right side
    138,919x = 46,329,549,049
  5. Step 5: Solve for x
    x = 46,329,549,049/138,919
  6. Step 6: Final answer
    x = 333,500.45

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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.