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Finding the Third Proportional to 129,354 and 193,233

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Solution

The third proportional to 129,354 and 193,233 is: 288,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,354 : 193,233 = 193,233 : x
  2. Step 2: Convert to fraction form
    129,354/193,233 = 193,233/x
  3. Step 3: Cross multiply
    129,354x = 193,233 × 193,233
  4. Step 4: Simplify right side
    129,354x = 37,338,992,289
  5. Step 5: Solve for x
    x = 37,338,992,289/129,354
  6. Step 6: Final answer
    x = 288,657.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.