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Finding the Third Proportional to 223,851 and 310,257

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Solution

The third proportional to 223,851 and 310,257 is: 430,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,851 : 310,257 = 310,257 : x
  2. Step 2: Convert to fraction form
    223,851/310,257 = 310,257/x
  3. Step 3: Cross multiply
    223,851x = 310,257 × 310,257
  4. Step 4: Simplify right side
    223,851x = 96,259,406,049
  5. Step 5: Solve for x
    x = 96,259,406,049/223,851
  6. Step 6: Final answer
    x = 430,015.53

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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.