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Finding the Third Proportional to 139,394 and 215,427

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Solution

The third proportional to 139,394 and 215,427 is: 332,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,394 : 215,427 = 215,427 : x
  2. Step 2: Convert to fraction form
    139,394/215,427 = 215,427/x
  3. Step 3: Cross multiply
    139,394x = 215,427 × 215,427
  4. Step 4: Simplify right side
    139,394x = 46,408,792,329
  5. Step 5: Solve for x
    x = 46,408,792,329/139,394
  6. Step 6: Final answer
    x = 332,932.50

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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.