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Finding the Third Proportional to 195,288 and 292,932

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Solution

The third proportional to 195,288 and 292,932 is: 439,398

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,288 : 292,932 = 292,932 : x
  2. Step 2: Convert to fraction form
    195,288/292,932 = 292,932/x
  3. Step 3: Cross multiply
    195,288x = 292,932 × 292,932
  4. Step 4: Simplify right side
    195,288x = 85,809,156,624
  5. Step 5: Solve for x
    x = 85,809,156,624/195,288
  6. Step 6: Final answer
    x = 439,398

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.