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Finding the Third Proportional to 185,251 and 287,029

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Solution

The third proportional to 185,251 and 287,029 is: 444,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,251 : 287,029 = 287,029 : x
  2. Step 2: Convert to fraction form
    185,251/287,029 = 287,029/x
  3. Step 3: Cross multiply
    185,251x = 287,029 × 287,029
  4. Step 4: Simplify right side
    185,251x = 82,385,646,841
  5. Step 5: Solve for x
    x = 82,385,646,841/185,251
  6. Step 6: Final answer
    x = 444,724.44

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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.