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Finding the Third Proportional to 137,068 and 300,380

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Solution

The third proportional to 137,068 and 300,380 is: 658,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,068 : 300,380 = 300,380 : x
  2. Step 2: Convert to fraction form
    137,068/300,380 = 300,380/x
  3. Step 3: Cross multiply
    137,068x = 300,380 × 300,380
  4. Step 4: Simplify right side
    137,068x = 90,228,144,400
  5. Step 5: Solve for x
    x = 90,228,144,400/137,068
  6. Step 6: Final answer
    x = 658,272.86

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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.