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Finding the Third Proportional to 137,846 and 300,307

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Solution

The third proportional to 137,846 and 300,307 is: 654,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846 : 300,307 = 300,307 : x
  2. Step 2: Convert to fraction form
    137,846/300,307 = 300,307/x
  3. Step 3: Cross multiply
    137,846x = 300,307 × 300,307
  4. Step 4: Simplify right side
    137,846x = 90,184,294,249
  5. Step 5: Solve for x
    x = 90,184,294,249/137,846
  6. Step 6: Final answer
    x = 654,239.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.