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Finding the Third Proportional to 223,344 and 310,392

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Solution

The third proportional to 223,344 and 310,392 is: 431,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,344 : 310,392 = 310,392 : x
  2. Step 2: Convert to fraction form
    223,344/310,392 = 310,392/x
  3. Step 3: Cross multiply
    223,344x = 310,392 × 310,392
  4. Step 4: Simplify right side
    223,344x = 96,343,193,664
  5. Step 5: Solve for x
    x = 96,343,193,664/223,344
  6. Step 6: Final answer
    x = 431,366.83

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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.