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Finding the Third Proportional to 183,702 and 403,542

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Solution

The third proportional to 183,702 and 403,542 is: 886,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,702 : 403,542 = 403,542 : x
  2. Step 2: Convert to fraction form
    183,702/403,542 = 403,542/x
  3. Step 3: Cross multiply
    183,702x = 403,542 × 403,542
  4. Step 4: Simplify right side
    183,702x = 162,846,145,764
  5. Step 5: Solve for x
    x = 162,846,145,764/183,702
  6. Step 6: Final answer
    x = 886,469.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.