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Finding the Third Proportional to 160,978 and 349,723

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Solution

The third proportional to 160,978 and 349,723 is: 759,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978 : 349,723 = 349,723 : x
  2. Step 2: Convert to fraction form
    160,978/349,723 = 349,723/x
  3. Step 3: Cross multiply
    160,978x = 349,723 × 349,723
  4. Step 4: Simplify right side
    160,978x = 122,306,176,729
  5. Step 5: Solve for x
    x = 122,306,176,729/160,978
  6. Step 6: Final answer
    x = 759,769.51

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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.