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Finding the Third Proportional to 151,290 and 329,193

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Solution

The third proportional to 151,290 and 329,193 is: 716,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,290 : 329,193 = 329,193 : x
  2. Step 2: Convert to fraction form
    151,290/329,193 = 329,193/x
  3. Step 3: Cross multiply
    151,290x = 329,193 × 329,193
  4. Step 4: Simplify right side
    151,290x = 108,368,031,249
  5. Step 5: Solve for x
    x = 108,368,031,249/151,290
  6. Step 6: Final answer
    x = 716,293.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.