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Finding the Third Proportional to 183,876.33 and 278,565.33

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Solution

The third proportional to 183,876.33 and 278,565.33 is: 422,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,876.33 : 278,565.33 = 278,565.33 : x
  2. Step 2: Convert to fraction form
    183,876.33/278,565.33 = 278,565.33/x
  3. Step 3: Cross multiply
    183,876.33x = 278,565.33 × 278,565.33
  4. Step 4: Simplify right side
    183,876.33x = 77,598,642,033.39
  5. Step 5: Solve for x
    x = 77,598,642,033.39/183,876.33
  6. Step 6: Final answer
    x = 422,015.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.