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Finding the Third Proportional to 75,232 and 168,288

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Solution

The third proportional to 75,232 and 168,288 is: 376,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,232 : 168,288 = 168,288 : x
  2. Step 2: Convert to fraction form
    75,232/168,288 = 168,288/x
  3. Step 3: Cross multiply
    75,232x = 168,288 × 168,288
  4. Step 4: Simplify right side
    75,232x = 28,320,850,944
  5. Step 5: Solve for x
    x = 28,320,850,944/75,232
  6. Step 6: Final answer
    x = 376,446.87

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.