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Finding the Third Proportional to 223,884 and 310,304

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Solution

The third proportional to 223,884 and 310,304 is: 430,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,884 : 310,304 = 310,304 : x
  2. Step 2: Convert to fraction form
    223,884/310,304 = 310,304/x
  3. Step 3: Cross multiply
    223,884x = 310,304 × 310,304
  4. Step 4: Simplify right side
    223,884x = 96,288,572,416
  5. Step 5: Solve for x
    x = 96,288,572,416/223,884
  6. Step 6: Final answer
    x = 430,082.42

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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.