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Finding the Third Proportional to 187,086 and 410,391

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Solution

The third proportional to 187,086 and 410,391 is: 900,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,086 : 410,391 = 410,391 : x
  2. Step 2: Convert to fraction form
    187,086/410,391 = 410,391/x
  3. Step 3: Cross multiply
    187,086x = 410,391 × 410,391
  4. Step 4: Simplify right side
    187,086x = 168,420,772,881
  5. Step 5: Solve for x
    x = 168,420,772,881/187,086
  6. Step 6: Final answer
    x = 900,231.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.