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Finding the Third Proportional to 106,624 and 226,368

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Solution

The third proportional to 106,624 and 226,368 is: 480,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,624 : 226,368 = 226,368 : x
  2. Step 2: Convert to fraction form
    106,624/226,368 = 226,368/x
  3. Step 3: Cross multiply
    106,624x = 226,368 × 226,368
  4. Step 4: Simplify right side
    106,624x = 51,242,471,424
  5. Step 5: Solve for x
    x = 51,242,471,424/106,624
  6. Step 6: Final answer
    x = 480,590.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.