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Finding the Third Proportional to 151,464.75 and 235,180.88

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Solution

The third proportional to 151,464.75 and 235,180.88 is: 365,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464.75 : 235,180.88 = 235,180.88 : x
  2. Step 2: Convert to fraction form
    151,464.75/235,180.88 = 235,180.88/x
  3. Step 3: Cross multiply
    151,464.75x = 235,180.88 × 235,180.88
  4. Step 4: Simplify right side
    151,464.75x = 55,310,043,965.77
  5. Step 5: Solve for x
    x = 55,310,043,965.77/151,464.75
  6. Step 6: Final answer
    x = 365,167.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.