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Finding the Third Proportional to 223,881 and 310,302

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Solution

The third proportional to 223,881 and 310,302 is: 430,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,881 : 310,302 = 310,302 : x
  2. Step 2: Convert to fraction form
    223,881/310,302 = 310,302/x
  3. Step 3: Cross multiply
    223,881x = 310,302 × 310,302
  4. Step 4: Simplify right side
    223,881x = 96,287,331,204
  5. Step 5: Solve for x
    x = 96,287,331,204/223,881
  6. Step 6: Final answer
    x = 430,082.64

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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.