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Finding the Third Proportional to 234,422 and 363,216

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Solution

The third proportional to 234,422 and 363,216 is: 562,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,422 : 363,216 = 363,216 : x
  2. Step 2: Convert to fraction form
    234,422/363,216 = 363,216/x
  3. Step 3: Cross multiply
    234,422x = 363,216 × 363,216
  4. Step 4: Simplify right side
    234,422x = 131,925,862,656
  5. Step 5: Solve for x
    x = 131,925,862,656/234,422
  6. Step 6: Final answer
    x = 562,770.83

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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.