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Finding the Third Proportional to 151,227 and 325,566

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Solution

The third proportional to 151,227 and 325,566 is: 700,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,227 : 325,566 = 325,566 : x
  2. Step 2: Convert to fraction form
    151,227/325,566 = 325,566/x
  3. Step 3: Cross multiply
    151,227x = 325,566 × 325,566
  4. Step 4: Simplify right side
    151,227x = 105,993,220,356
  5. Step 5: Solve for x
    x = 105,993,220,356/151,227
  6. Step 6: Final answer
    x = 700,888.20

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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.