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Finding the Third Proportional to 234,492 and 363,321.75

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Solution

The third proportional to 234,492 and 363,321.75 is: 562,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,492 : 363,321.75 = 363,321.75 : x
  2. Step 2: Convert to fraction form
    234,492/363,321.75 = 363,321.75/x
  3. Step 3: Cross multiply
    234,492x = 363,321.75 × 363,321.75
  4. Step 4: Simplify right side
    234,492x = 132,002,694,023.06
  5. Step 5: Solve for x
    x = 132,002,694,023.06/234,492
  6. Step 6: Final answer
    x = 562,930.48

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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.