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Finding the Third Proportional to 141,598 and 299,599

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Solution

The third proportional to 141,598 and 299,599 is: 633,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,598 : 299,599 = 299,599 : x
  2. Step 2: Convert to fraction form
    141,598/299,599 = 299,599/x
  3. Step 3: Cross multiply
    141,598x = 299,599 × 299,599
  4. Step 4: Simplify right side
    141,598x = 89,759,560,801
  5. Step 5: Solve for x
    x = 89,759,560,801/141,598
  6. Step 6: Final answer
    x = 633,904.16

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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.