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Finding the Third Proportional to 123,570 and 198,963

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Solution

The third proportional to 123,570 and 198,963 is: 320,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,570 : 198,963 = 198,963 : x
  2. Step 2: Convert to fraction form
    123,570/198,963 = 198,963/x
  3. Step 3: Cross multiply
    123,570x = 198,963 × 198,963
  4. Step 4: Simplify right side
    123,570x = 39,586,275,369
  5. Step 5: Solve for x
    x = 39,586,275,369/123,570
  6. Step 6: Final answer
    x = 320,355.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.