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Finding the Third Proportional to 128,448 and 204,563

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Solution

The third proportional to 128,448 and 204,563 is: 325,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,448 : 204,563 = 204,563 : x
  2. Step 2: Convert to fraction form
    128,448/204,563 = 204,563/x
  3. Step 3: Cross multiply
    128,448x = 204,563 × 204,563
  4. Step 4: Simplify right side
    128,448x = 41,846,020,969
  5. Step 5: Solve for x
    x = 41,846,020,969/128,448
  6. Step 6: Final answer
    x = 325,781.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.