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Finding the Third Proportional to 115,622 and 252,412

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Solution

The third proportional to 115,622 and 252,412 is: 551,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,622 : 252,412 = 252,412 : x
  2. Step 2: Convert to fraction form
    115,622/252,412 = 252,412/x
  3. Step 3: Cross multiply
    115,622x = 252,412 × 252,412
  4. Step 4: Simplify right side
    115,622x = 63,711,817,744
  5. Step 5: Solve for x
    x = 63,711,817,744/115,622
  6. Step 6: Final answer
    x = 551,035.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.