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Finding the Third Proportional to 160,092 and 345,012

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Solution

The third proportional to 160,092 and 345,012 is: 743,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,092 : 345,012 = 345,012 : x
  2. Step 2: Convert to fraction form
    160,092/345,012 = 345,012/x
  3. Step 3: Cross multiply
    160,092x = 345,012 × 345,012
  4. Step 4: Simplify right side
    160,092x = 119,033,280,144
  5. Step 5: Solve for x
    x = 119,033,280,144/160,092
  6. Step 6: Final answer
    x = 743,530.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.