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Finding the Third Proportional to 201,232 and 419,000

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Solution

The third proportional to 201,232 and 419,000 is: 872,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232 : 419,000 = 419,000 : x
  2. Step 2: Convert to fraction form
    201,232/419,000 = 419,000/x
  3. Step 3: Cross multiply
    201,232x = 419,000 × 419,000
  4. Step 4: Simplify right side
    201,232x = 175,561,000,000
  5. Step 5: Solve for x
    x = 175,561,000,000/201,232
  6. Step 6: Final answer
    x = 872,430.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.