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Finding the Third Proportional to 89,749 and 194,357

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Solution

The third proportional to 89,749 and 194,357 is: 420,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,749 : 194,357 = 194,357 : x
  2. Step 2: Convert to fraction form
    89,749/194,357 = 194,357/x
  3. Step 3: Cross multiply
    89,749x = 194,357 × 194,357
  4. Step 4: Simplify right side
    89,749x = 37,774,643,449
  5. Step 5: Solve for x
    x = 37,774,643,449/89,749
  6. Step 6: Final answer
    x = 420,892.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.