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Finding the Third Proportional to 160,753 and 349,182

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Solution

The third proportional to 160,753 and 349,182 is: 758,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,753 : 349,182 = 349,182 : x
  2. Step 2: Convert to fraction form
    160,753/349,182 = 349,182/x
  3. Step 3: Cross multiply
    160,753x = 349,182 × 349,182
  4. Step 4: Simplify right side
    160,753x = 121,928,069,124
  5. Step 5: Solve for x
    x = 121,928,069,124/160,753
  6. Step 6: Final answer
    x = 758,480.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.