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Finding the Third Proportional to 137,379 and 295,440

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Solution

The third proportional to 137,379 and 295,440 is: 635,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,379 : 295,440 = 295,440 : x
  2. Step 2: Convert to fraction form
    137,379/295,440 = 295,440/x
  3. Step 3: Cross multiply
    137,379x = 295,440 × 295,440
  4. Step 4: Simplify right side
    137,379x = 87,284,793,600
  5. Step 5: Solve for x
    x = 87,284,793,600/137,379
  6. Step 6: Final answer
    x = 635,357.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.