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Finding the Third Proportional to 131,351 and 208,022

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Solution

The third proportional to 131,351 and 208,022 is: 329,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,351 : 208,022 = 208,022 : x
  2. Step 2: Convert to fraction form
    131,351/208,022 = 208,022/x
  3. Step 3: Cross multiply
    131,351x = 208,022 × 208,022
  4. Step 4: Simplify right side
    131,351x = 43,273,152,484
  5. Step 5: Solve for x
    x = 43,273,152,484/131,351
  6. Step 6: Final answer
    x = 329,446.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.