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Finding the Third Proportional to 152,092 and 220,296

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Solution

The third proportional to 152,092 and 220,296 is: 319,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,092 : 220,296 = 220,296 : x
  2. Step 2: Convert to fraction form
    152,092/220,296 = 220,296/x
  3. Step 3: Cross multiply
    152,092x = 220,296 × 220,296
  4. Step 4: Simplify right side
    152,092x = 48,530,327,616
  5. Step 5: Solve for x
    x = 48,530,327,616/152,092
  6. Step 6: Final answer
    x = 319,085.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.