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Finding the Third Proportional to 85,690 and 185,252

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Solution

The third proportional to 85,690 and 185,252 is: 400,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,690 : 185,252 = 185,252 : x
  2. Step 2: Convert to fraction form
    85,690/185,252 = 185,252/x
  3. Step 3: Cross multiply
    85,690x = 185,252 × 185,252
  4. Step 4: Simplify right side
    85,690x = 34,318,303,504
  5. Step 5: Solve for x
    x = 34,318,303,504/85,690
  6. Step 6: Final answer
    x = 400,493.68

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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.