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Finding the Third Proportional to 141,599 and 299,601

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Solution

The third proportional to 141,599 and 299,601 is: 633,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,599 : 299,601 = 299,601 : x
  2. Step 2: Convert to fraction form
    141,599/299,601 = 299,601/x
  3. Step 3: Cross multiply
    141,599x = 299,601 × 299,601
  4. Step 4: Simplify right side
    141,599x = 89,760,759,201
  5. Step 5: Solve for x
    x = 89,760,759,201/141,599
  6. Step 6: Final answer
    x = 633,908.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.