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Finding the Third Proportional to 139,592 and 199,382

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Solution

The third proportional to 139,592 and 199,382 is: 284,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,592 : 199,382 = 199,382 : x
  2. Step 2: Convert to fraction form
    139,592/199,382 = 199,382/x
  3. Step 3: Cross multiply
    139,592x = 199,382 × 199,382
  4. Step 4: Simplify right side
    139,592x = 39,753,181,924
  5. Step 5: Solve for x
    x = 39,753,181,924/139,592
  6. Step 6: Final answer
    x = 284,781.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.