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Finding the Third Proportional to 159,653.75 and 240,151.38

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Solution

The third proportional to 159,653.75 and 240,151.38 is: 361,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,653.75 : 240,151.38 = 240,151.38 : x
  2. Step 2: Convert to fraction form
    159,653.75/240,151.38 = 240,151.38/x
  3. Step 3: Cross multiply
    159,653.75x = 240,151.38 × 240,151.38
  4. Step 4: Simplify right side
    159,653.75x = 57,672,682,914.39
  5. Step 5: Solve for x
    x = 57,672,682,914.39/159,653.75
  6. Step 6: Final answer
    x = 361,236.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.