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Finding the Third Proportional to 199,601 and 293,569

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Solution

The third proportional to 199,601 and 293,569 is: 431,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,601 : 293,569 = 293,569 : x
  2. Step 2: Convert to fraction form
    199,601/293,569 = 293,569/x
  3. Step 3: Cross multiply
    199,601x = 293,569 × 293,569
  4. Step 4: Simplify right side
    199,601x = 86,182,757,761
  5. Step 5: Solve for x
    x = 86,182,757,761/199,601
  6. Step 6: Final answer
    x = 431,775.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.