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Finding the Third Proportional to 137,683 and 301,286

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Solution

The third proportional to 137,683 and 301,286 is: 659,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,683 : 301,286 = 301,286 : x
  2. Step 2: Convert to fraction form
    137,683/301,286 = 301,286/x
  3. Step 3: Cross multiply
    137,683x = 301,286 × 301,286
  4. Step 4: Simplify right side
    137,683x = 90,773,253,796
  5. Step 5: Solve for x
    x = 90,773,253,796/137,683
  6. Step 6: Final answer
    x = 659,291.66

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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.