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Finding the Third Proportional to 185,514.75 and 279,994.50

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Solution

The third proportional to 185,514.75 and 279,994.50 is: 422,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,514.75 : 279,994.50 = 279,994.50 : x
  2. Step 2: Convert to fraction form
    185,514.75/279,994.50 = 279,994.50/x
  3. Step 3: Cross multiply
    185,514.75x = 279,994.50 × 279,994.50
  4. Step 4: Simplify right side
    185,514.75x = 78,396,920,030.25
  5. Step 5: Solve for x
    x = 78,396,920,030.25/185,514.75
  6. Step 6: Final answer
    x = 422,591.30

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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.