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Finding the Third Proportional to 151,734 and 218,562

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Solution

The third proportional to 151,734 and 218,562 is: 314,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,734 : 218,562 = 218,562 : x
  2. Step 2: Convert to fraction form
    151,734/218,562 = 218,562/x
  3. Step 3: Cross multiply
    151,734x = 218,562 × 218,562
  4. Step 4: Simplify right side
    151,734x = 47,769,347,844
  5. Step 5: Solve for x
    x = 47,769,347,844/151,734
  6. Step 6: Final answer
    x = 314,822.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.