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Finding the Third Proportional to 185,218 and 286,979

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Solution

The third proportional to 185,218 and 286,979 is: 444,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,218 : 286,979 = 286,979 : x
  2. Step 2: Convert to fraction form
    185,218/286,979 = 286,979/x
  3. Step 3: Cross multiply
    185,218x = 286,979 × 286,979
  4. Step 4: Simplify right side
    185,218x = 82,356,946,441
  5. Step 5: Solve for x
    x = 82,356,946,441/185,218
  6. Step 6: Final answer
    x = 444,648.72

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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.