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Finding the Third Proportional to 189,625 and 437,882

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Solution

The third proportional to 189,625 and 437,882 is: 1,011,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,625 : 437,882 = 437,882 : x
  2. Step 2: Convert to fraction form
    189,625/437,882 = 437,882/x
  3. Step 3: Cross multiply
    189,625x = 437,882 × 437,882
  4. Step 4: Simplify right side
    189,625x = 191,740,645,924
  5. Step 5: Solve for x
    x = 191,740,645,924/189,625
  6. Step 6: Final answer
    x = 1,011,157.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.