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Finding the Third Proportional to 226,048 and 330,964

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Solution

The third proportional to 226,048 and 330,964 is: 484,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,048 : 330,964 = 330,964 : x
  2. Step 2: Convert to fraction form
    226,048/330,964 = 330,964/x
  3. Step 3: Cross multiply
    226,048x = 330,964 × 330,964
  4. Step 4: Simplify right side
    226,048x = 109,537,169,296
  5. Step 5: Solve for x
    x = 109,537,169,296/226,048
  6. Step 6: Final answer
    x = 484,574.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.