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Finding the Third Proportional to 185,878 and 288,226

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Solution

The third proportional to 185,878 and 288,226 is: 446,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,878 : 288,226 = 288,226 : x
  2. Step 2: Convert to fraction form
    185,878/288,226 = 288,226/x
  3. Step 3: Cross multiply
    185,878x = 288,226 × 288,226
  4. Step 4: Simplify right side
    185,878x = 83,074,227,076
  5. Step 5: Solve for x
    x = 83,074,227,076/185,878
  6. Step 6: Final answer
    x = 446,928.78

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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.