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Finding the Third Proportional to 197,825 and 292,390

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Solution

The third proportional to 197,825 and 292,390 is: 432,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,825 : 292,390 = 292,390 : x
  2. Step 2: Convert to fraction form
    197,825/292,390 = 292,390/x
  3. Step 3: Cross multiply
    197,825x = 292,390 × 292,390
  4. Step 4: Simplify right side
    197,825x = 85,491,912,100
  5. Step 5: Solve for x
    x = 85,491,912,100/197,825
  6. Step 6: Final answer
    x = 432,159.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.