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Finding the Third Proportional to 139,028 and 215,452

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Solution

The third proportional to 139,028 and 215,452 is: 333,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,028 : 215,452 = 215,452 : x
  2. Step 2: Convert to fraction form
    139,028/215,452 = 215,452/x
  3. Step 3: Cross multiply
    139,028x = 215,452 × 215,452
  4. Step 4: Simplify right side
    139,028x = 46,419,564,304
  5. Step 5: Solve for x
    x = 46,419,564,304/139,028
  6. Step 6: Final answer
    x = 333,886.44

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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.