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Finding the Third Proportional to 83,764.75 and 182,590.25

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Solution

The third proportional to 83,764.75 and 182,590.25 is: 398,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.75 : 182,590.25 = 182,590.25 : x
  2. Step 2: Convert to fraction form
    83,764.75/182,590.25 = 182,590.25/x
  3. Step 3: Cross multiply
    83,764.75x = 182,590.25 × 182,590.25
  4. Step 4: Simplify right side
    83,764.75x = 33,339,199,395.06
  5. Step 5: Solve for x
    x = 33,339,199,395.06/83,764.75
  6. Step 6: Final answer
    x = 398,009.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.