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Finding the Third Proportional to 248,478 and 331,052

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Solution

The third proportional to 248,478 and 331,052 is: 441,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,478 : 331,052 = 331,052 : x
  2. Step 2: Convert to fraction form
    248,478/331,052 = 331,052/x
  3. Step 3: Cross multiply
    248,478x = 331,052 × 331,052
  4. Step 4: Simplify right side
    248,478x = 109,595,426,704
  5. Step 5: Solve for x
    x = 109,595,426,704/248,478
  6. Step 6: Final answer
    x = 441,066.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.