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Finding the Third Proportional to 223,863 and 310,275

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Solution

The third proportional to 223,863 and 310,275 is: 430,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,863 : 310,275 = 310,275 : x
  2. Step 2: Convert to fraction form
    223,863/310,275 = 310,275/x
  3. Step 3: Cross multiply
    223,863x = 310,275 × 310,275
  4. Step 4: Simplify right side
    223,863x = 96,270,575,625
  5. Step 5: Solve for x
    x = 96,270,575,625/223,863
  6. Step 6: Final answer
    x = 430,042.37

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