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Finding the Third Proportional to 137,084 and 300,412

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Solution

The third proportional to 137,084 and 300,412 is: 658,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,084 : 300,412 = 300,412 : x
  2. Step 2: Convert to fraction form
    137,084/300,412 = 300,412/x
  3. Step 3: Cross multiply
    137,084x = 300,412 × 300,412
  4. Step 4: Simplify right side
    137,084x = 90,247,369,744
  5. Step 5: Solve for x
    x = 90,247,369,744/137,084
  6. Step 6: Final answer
    x = 658,336.27

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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.