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Finding the Third Proportional to 185,255 and 287,035

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Solution

The third proportional to 185,255 and 287,035 is: 444,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,255 : 287,035 = 287,035 : x
  2. Step 2: Convert to fraction form
    185,255/287,035 = 287,035/x
  3. Step 3: Cross multiply
    185,255x = 287,035 × 287,035
  4. Step 4: Simplify right side
    185,255x = 82,389,091,225
  5. Step 5: Solve for x
    x = 82,389,091,225/185,255
  6. Step 6: Final answer
    x = 444,733.43

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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.