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Finding the Third Proportional to 106,368 and 230,208

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Solution

The third proportional to 106,368 and 230,208 is: 498,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,368 : 230,208 = 230,208 : x
  2. Step 2: Convert to fraction form
    106,368/230,208 = 230,208/x
  3. Step 3: Cross multiply
    106,368x = 230,208 × 230,208
  4. Step 4: Simplify right side
    106,368x = 52,995,723,264
  5. Step 5: Solve for x
    x = 52,995,723,264/106,368
  6. Step 6: Final answer
    x = 498,229.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.