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Finding the Third Proportional to 223,871 and 310,287

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Solution

The third proportional to 223,871 and 310,287 is: 430,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,871 : 310,287 = 310,287 : x
  2. Step 2: Convert to fraction form
    223,871/310,287 = 310,287/x
  3. Step 3: Cross multiply
    223,871x = 310,287 × 310,287
  4. Step 4: Simplify right side
    223,871x = 96,278,022,369
  5. Step 5: Solve for x
    x = 96,278,022,369/223,871
  6. Step 6: Final answer
    x = 430,060.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.