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Finding the Third Proportional to 187,796 and 291,242

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Solution

The third proportional to 187,796 and 291,242 is: 451,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,796 : 291,242 = 291,242 : x
  2. Step 2: Convert to fraction form
    187,796/291,242 = 291,242/x
  3. Step 3: Cross multiply
    187,796x = 291,242 × 291,242
  4. Step 4: Simplify right side
    187,796x = 84,821,902,564
  5. Step 5: Solve for x
    x = 84,821,902,564/187,796
  6. Step 6: Final answer
    x = 451,670.44

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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.