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Finding the Third Proportional to 198,592 and 425,611

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Solution

The third proportional to 198,592 and 425,611 is: 912,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592 : 425,611 = 425,611 : x
  2. Step 2: Convert to fraction form
    198,592/425,611 = 425,611/x
  3. Step 3: Cross multiply
    198,592x = 425,611 × 425,611
  4. Step 4: Simplify right side
    198,592x = 181,144,723,321
  5. Step 5: Solve for x
    x = 181,144,723,321/198,592
  6. Step 6: Final answer
    x = 912,145.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.