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Finding the Third Proportional to 195,998 and 425,188

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Solution

The third proportional to 195,998 and 425,188 is: 922,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,998 : 425,188 = 425,188 : x
  2. Step 2: Convert to fraction form
    195,998/425,188 = 425,188/x
  3. Step 3: Cross multiply
    195,998x = 425,188 × 425,188
  4. Step 4: Simplify right side
    195,998x = 180,784,835,344
  5. Step 5: Solve for x
    x = 180,784,835,344/195,998
  6. Step 6: Final answer
    x = 922,381.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.