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Finding the Third Proportional to 185,101.75 and 279,930.50

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Solution

The third proportional to 185,101.75 and 279,930.50 is: 423,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,101.75 : 279,930.50 = 279,930.50 : x
  2. Step 2: Convert to fraction form
    185,101.75/279,930.50 = 279,930.50/x
  3. Step 3: Cross multiply
    185,101.75x = 279,930.50 × 279,930.50
  4. Step 4: Simplify right side
    185,101.75x = 78,361,084,830.25
  5. Step 5: Solve for x
    x = 78,361,084,830.25/185,101.75
  6. Step 6: Final answer
    x = 423,340.59

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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.