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Finding the Third Proportional to 106,372 and 230,216

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Solution

The third proportional to 106,372 and 230,216 is: 498,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,372 : 230,216 = 230,216 : x
  2. Step 2: Convert to fraction form
    106,372/230,216 = 230,216/x
  3. Step 3: Cross multiply
    106,372x = 230,216 × 230,216
  4. Step 4: Simplify right side
    106,372x = 52,999,406,656
  5. Step 5: Solve for x
    x = 52,999,406,656/106,372
  6. Step 6: Final answer
    x = 498,245.84

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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.