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Finding the Third Proportional to 115,206.75 and 238,404.38

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Solution

The third proportional to 115,206.75 and 238,404.38 is: 493,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,206.75 : 238,404.38 = 238,404.38 : x
  2. Step 2: Convert to fraction form
    115,206.75/238,404.38 = 238,404.38/x
  3. Step 3: Cross multiply
    115,206.75x = 238,404.38 × 238,404.38
  4. Step 4: Simplify right side
    115,206.75x = 56,836,646,019.14
  5. Step 5: Solve for x
    x = 56,836,646,019.14/115,206.75
  6. Step 6: Final answer
    x = 493,344.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.