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Finding the Third Proportional to 155,732 and 222,692

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Solution

The third proportional to 155,732 and 222,692 is: 318,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,732 : 222,692 = 222,692 : x
  2. Step 2: Convert to fraction form
    155,732/222,692 = 222,692/x
  3. Step 3: Cross multiply
    155,732x = 222,692 × 222,692
  4. Step 4: Simplify right side
    155,732x = 49,591,726,864
  5. Step 5: Solve for x
    x = 49,591,726,864/155,732
  6. Step 6: Final answer
    x = 318,442.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.