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Finding the Third Proportional to 160,978 and 349,632

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Solution

The third proportional to 160,978 and 349,632 is: 759,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978 : 349,632 = 349,632 : x
  2. Step 2: Convert to fraction form
    160,978/349,632 = 349,632/x
  3. Step 3: Cross multiply
    160,978x = 349,632 × 349,632
  4. Step 4: Simplify right side
    160,978x = 122,242,535,424
  5. Step 5: Solve for x
    x = 122,242,535,424/160,978
  6. Step 6: Final answer
    x = 759,374.17

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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.