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Finding the Third Proportional to 227,518 and 335,442

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Solution

The third proportional to 227,518 and 335,442 is: 494,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,518 : 335,442 = 335,442 : x
  2. Step 2: Convert to fraction form
    227,518/335,442 = 335,442/x
  3. Step 3: Cross multiply
    227,518x = 335,442 × 335,442
  4. Step 4: Simplify right side
    227,518x = 112,521,335,364
  5. Step 5: Solve for x
    x = 112,521,335,364/227,518
  6. Step 6: Final answer
    x = 494,560.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.