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Finding the Third Proportional to 187,993 and 291,234

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Solution

The third proportional to 187,993 and 291,234 is: 451,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,993 : 291,234 = 291,234 : x
  2. Step 2: Convert to fraction form
    187,993/291,234 = 291,234/x
  3. Step 3: Cross multiply
    187,993x = 291,234 × 291,234
  4. Step 4: Simplify right side
    187,993x = 84,817,242,756
  5. Step 5: Solve for x
    x = 84,817,242,756/187,993
  6. Step 6: Final answer
    x = 451,172.35

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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.