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Finding the Third Proportional to 234,320 and 363,132

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Solution

The third proportional to 234,320 and 363,132 is: 562,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,320 : 363,132 = 363,132 : x
  2. Step 2: Convert to fraction form
    234,320/363,132 = 363,132/x
  3. Step 3: Cross multiply
    234,320x = 363,132 × 363,132
  4. Step 4: Simplify right side
    234,320x = 131,864,849,424
  5. Step 5: Solve for x
    x = 131,864,849,424/234,320
  6. Step 6: Final answer
    x = 562,755.42

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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.