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Finding the Third Proportional to 248,472 and 331,047

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Solution

The third proportional to 248,472 and 331,047 is: 441,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,472 : 331,047 = 331,047 : x
  2. Step 2: Convert to fraction form
    248,472/331,047 = 331,047/x
  3. Step 3: Cross multiply
    248,472x = 331,047 × 331,047
  4. Step 4: Simplify right side
    248,472x = 109,592,116,209
  5. Step 5: Solve for x
    x = 109,592,116,209/248,472
  6. Step 6: Final answer
    x = 441,064.25

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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.