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Finding the Third Proportional to 341,482 and 372,100

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Solution

The third proportional to 341,482 and 372,100 is: 405,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,482 : 372,100 = 372,100 : x
  2. Step 2: Convert to fraction form
    341,482/372,100 = 372,100/x
  3. Step 3: Cross multiply
    341,482x = 372,100 × 372,100
  4. Step 4: Simplify right side
    341,482x = 138,458,410,000
  5. Step 5: Solve for x
    x = 138,458,410,000/341,482
  6. Step 6: Final answer
    x = 405,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.