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Finding the Third Proportional to 137,144 and 299,918

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Solution

The third proportional to 137,144 and 299,918 is: 655,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144 : 299,918 = 299,918 : x
  2. Step 2: Convert to fraction form
    137,144/299,918 = 299,918/x
  3. Step 3: Cross multiply
    137,144x = 299,918 × 299,918
  4. Step 4: Simplify right side
    137,144x = 89,950,806,724
  5. Step 5: Solve for x
    x = 89,950,806,724/137,144
  6. Step 6: Final answer
    x = 655,885.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.