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Finding the Third Proportional to 212,311.13 and 325,839.38

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Solution

The third proportional to 212,311.13 and 325,839.38 is: 500,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,311.13 : 325,839.38 = 325,839.38 : x
  2. Step 2: Convert to fraction form
    212,311.13/325,839.38 = 325,839.38/x
  3. Step 3: Cross multiply
    212,311.13x = 325,839.38 × 325,839.38
  4. Step 4: Simplify right side
    212,311.13x = 106,171,298,300.39
  5. Step 5: Solve for x
    x = 106,171,298,300.39/212,311.13
  6. Step 6: Final answer
    x = 500,074.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.