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Finding the Third Proportional to 185,515.50 and 400,677

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Solution

The third proportional to 185,515.50 and 400,677 is: 865,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,515.50 : 400,677 = 400,677 : x
  2. Step 2: Convert to fraction form
    185,515.50/400,677 = 400,677/x
  3. Step 3: Cross multiply
    185,515.50x = 400,677 × 400,677
  4. Step 4: Simplify right side
    185,515.50x = 160,542,058,329
  5. Step 5: Solve for x
    x = 160,542,058,329/185,515.50
  6. Step 6: Final answer
    x = 865,383.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.