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Finding the Third Proportional to 137,320 and 300,884

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Solution

The third proportional to 137,320 and 300,884 is: 659,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,320 : 300,884 = 300,884 : x
  2. Step 2: Convert to fraction form
    137,320/300,884 = 300,884/x
  3. Step 3: Cross multiply
    137,320x = 300,884 × 300,884
  4. Step 4: Simplify right side
    137,320x = 90,531,181,456
  5. Step 5: Solve for x
    x = 90,531,181,456/137,320
  6. Step 6: Final answer
    x = 659,271.64

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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.