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Finding the Third Proportional to 226,270 and 335,491

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Solution

The third proportional to 226,270 and 335,491 is: 497,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,270 : 335,491 = 335,491 : x
  2. Step 2: Convert to fraction form
    226,270/335,491 = 335,491/x
  3. Step 3: Cross multiply
    226,270x = 335,491 × 335,491
  4. Step 4: Simplify right side
    226,270x = 112,554,211,081
  5. Step 5: Solve for x
    x = 112,554,211,081/226,270
  6. Step 6: Final answer
    x = 497,433.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.