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Finding the Third Proportional to 129,384 and 193,278

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Solution

The third proportional to 129,384 and 193,278 is: 288,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384 : 193,278 = 193,278 : x
  2. Step 2: Convert to fraction form
    129,384/193,278 = 193,278/x
  3. Step 3: Cross multiply
    129,384x = 193,278 × 193,278
  4. Step 4: Simplify right side
    129,384x = 37,356,385,284
  5. Step 5: Solve for x
    x = 37,356,385,284/129,384
  6. Step 6: Final answer
    x = 288,724.92

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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.