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Finding the Third Proportional to 160,879.50 and 240,468.75

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Solution

The third proportional to 160,879.50 and 240,468.75 is: 359,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,879.50 : 240,468.75 = 240,468.75 : x
  2. Step 2: Convert to fraction form
    160,879.50/240,468.75 = 240,468.75/x
  3. Step 3: Cross multiply
    160,879.50x = 240,468.75 × 240,468.75
  4. Step 4: Simplify right side
    160,879.50x = 57,825,219,726.56
  5. Step 5: Solve for x
    x = 57,825,219,726.56/160,879.50
  6. Step 6: Final answer
    x = 359,431.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.