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Finding the Third Proportional to 234,427 and 363,223

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Solution

The third proportional to 234,427 and 363,223 is: 562,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,427 : 363,223 = 363,223 : x
  2. Step 2: Convert to fraction form
    234,427/363,223 = 363,223/x
  3. Step 3: Cross multiply
    234,427x = 363,223 × 363,223
  4. Step 4: Simplify right side
    234,427x = 131,930,947,729
  5. Step 5: Solve for x
    x = 131,930,947,729/234,427
  6. Step 6: Final answer
    x = 562,780.51

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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.