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Finding the Third Proportional to 234,511 and 363,351

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Solution

The third proportional to 234,511 and 363,351 is: 562,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,511 : 363,351 = 363,351 : x
  2. Step 2: Convert to fraction form
    234,511/363,351 = 363,351/x
  3. Step 3: Cross multiply
    234,511x = 363,351 × 363,351
  4. Step 4: Simplify right side
    234,511x = 132,023,949,201
  5. Step 5: Solve for x
    x = 132,023,949,201/234,511
  6. Step 6: Final answer
    x = 562,975.51

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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.