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Finding the Third Proportional to 87,274 and 188,473

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Solution

The third proportional to 87,274 and 188,473 is: 407,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,274 : 188,473 = 188,473 : x
  2. Step 2: Convert to fraction form
    87,274/188,473 = 188,473/x
  3. Step 3: Cross multiply
    87,274x = 188,473 × 188,473
  4. Step 4: Simplify right side
    87,274x = 35,522,071,729
  5. Step 5: Solve for x
    x = 35,522,071,729/87,274
  6. Step 6: Final answer
    x = 407,017.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.