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Finding the Third Proportional to 185,856 and 288,192

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Solution

The third proportional to 185,856 and 288,192 is: 446,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,856 : 288,192 = 288,192 : x
  2. Step 2: Convert to fraction form
    185,856/288,192 = 288,192/x
  3. Step 3: Cross multiply
    185,856x = 288,192 × 288,192
  4. Step 4: Simplify right side
    185,856x = 83,054,628,864
  5. Step 5: Solve for x
    x = 83,054,628,864/185,856
  6. Step 6: Final answer
    x = 446,876.23

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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.