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Finding the Third Proportional to 187,864 and 291,408

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Solution

The third proportional to 187,864 and 291,408 is: 452,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,864 : 291,408 = 291,408 : x
  2. Step 2: Convert to fraction form
    187,864/291,408 = 291,408/x
  3. Step 3: Cross multiply
    187,864x = 291,408 × 291,408
  4. Step 4: Simplify right side
    187,864x = 84,918,622,464
  5. Step 5: Solve for x
    x = 84,918,622,464/187,864
  6. Step 6: Final answer
    x = 452,021.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.