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Finding the Third Proportional to 160,119 and 344,979

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Solution

The third proportional to 160,119 and 344,979 is: 743,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,119 : 344,979 = 344,979 : x
  2. Step 2: Convert to fraction form
    160,119/344,979 = 344,979/x
  3. Step 3: Cross multiply
    160,119x = 344,979 × 344,979
  4. Step 4: Simplify right side
    160,119x = 119,010,510,441
  5. Step 5: Solve for x
    x = 119,010,510,441/160,119
  6. Step 6: Final answer
    x = 743,262.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.