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Finding the Third Proportional to 139,437 and 215,451

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Solution

The third proportional to 139,437 and 215,451 is: 332,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,437 : 215,451 = 215,451 : x
  2. Step 2: Convert to fraction form
    139,437/215,451 = 215,451/x
  3. Step 3: Cross multiply
    139,437x = 215,451 × 215,451
  4. Step 4: Simplify right side
    139,437x = 46,419,133,401
  5. Step 5: Solve for x
    x = 46,419,133,401/139,437
  6. Step 6: Final answer
    x = 332,903.99

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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.