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Finding the Third Proportional to 160,078.50 and 349,134.75

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Solution

The third proportional to 160,078.50 and 349,134.75 is: 761,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,078.50 : 349,134.75 = 349,134.75 : x
  2. Step 2: Convert to fraction form
    160,078.50/349,134.75 = 349,134.75/x
  3. Step 3: Cross multiply
    160,078.50x = 349,134.75 × 349,134.75
  4. Step 4: Simplify right side
    160,078.50x = 121,895,073,657.56
  5. Step 5: Solve for x
    x = 121,895,073,657.56/160,078.50
  6. Step 6: Final answer
    x = 761,470.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.