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Finding the Third Proportional to 242,022 and 338,517

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Solution

The third proportional to 242,022 and 338,517 is: 473,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,022 : 338,517 = 338,517 : x
  2. Step 2: Convert to fraction form
    242,022/338,517 = 338,517/x
  3. Step 3: Cross multiply
    242,022x = 338,517 × 338,517
  4. Step 4: Simplify right side
    242,022x = 114,593,759,289
  5. Step 5: Solve for x
    x = 114,593,759,289/242,022
  6. Step 6: Final answer
    x = 473,484.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.