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Finding the Third Proportional to 195,098 and 425,650

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Solution

The third proportional to 195,098 and 425,650 is: 928,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,098 : 425,650 = 425,650 : x
  2. Step 2: Convert to fraction form
    195,098/425,650 = 425,650/x
  3. Step 3: Cross multiply
    195,098x = 425,650 × 425,650
  4. Step 4: Simplify right side
    195,098x = 181,177,922,500
  5. Step 5: Solve for x
    x = 181,177,922,500/195,098
  6. Step 6: Final answer
    x = 928,650.84

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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.