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Finding the Third Proportional to 198,782 and 425,968

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Solution

The third proportional to 198,782 and 425,968 is: 912,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,782 : 425,968 = 425,968 : x
  2. Step 2: Convert to fraction form
    198,782/425,968 = 425,968/x
  3. Step 3: Cross multiply
    198,782x = 425,968 × 425,968
  4. Step 4: Simplify right side
    198,782x = 181,448,737,024
  5. Step 5: Solve for x
    x = 181,448,737,024/198,782
  6. Step 6: Final answer
    x = 912,802.65

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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.