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Finding the Third Proportional to 111,415 and 231,364

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Solution

The third proportional to 111,415 and 231,364 is: 480,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,415 : 231,364 = 231,364 : x
  2. Step 2: Convert to fraction form
    111,415/231,364 = 231,364/x
  3. Step 3: Cross multiply
    111,415x = 231,364 × 231,364
  4. Step 4: Simplify right side
    111,415x = 53,529,300,496
  5. Step 5: Solve for x
    x = 53,529,300,496/111,415
  6. Step 6: Final answer
    x = 480,449.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.