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Finding the Third Proportional to 185,388.75 and 281,637

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Solution

The third proportional to 185,388.75 and 281,637 is: 427,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,388.75 : 281,637 = 281,637 : x
  2. Step 2: Convert to fraction form
    185,388.75/281,637 = 281,637/x
  3. Step 3: Cross multiply
    185,388.75x = 281,637 × 281,637
  4. Step 4: Simplify right side
    185,388.75x = 79,319,399,769
  5. Step 5: Solve for x
    x = 79,319,399,769/185,388.75
  6. Step 6: Final answer
    x = 427,854.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.