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Finding the Third Proportional to 92,478 and 199,524

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Solution

The third proportional to 92,478 and 199,524 is: 430,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,478 : 199,524 = 199,524 : x
  2. Step 2: Convert to fraction form
    92,478/199,524 = 199,524/x
  3. Step 3: Cross multiply
    92,478x = 199,524 × 199,524
  4. Step 4: Simplify right side
    92,478x = 39,809,826,576
  5. Step 5: Solve for x
    x = 39,809,826,576/92,478
  6. Step 6: Final answer
    x = 430,478.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.