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Finding the Third Proportional to 193,084 and 295,372

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Solution

The third proportional to 193,084 and 295,372 is: 451,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,084 : 295,372 = 295,372 : x
  2. Step 2: Convert to fraction form
    193,084/295,372 = 295,372/x
  3. Step 3: Cross multiply
    193,084x = 295,372 × 295,372
  4. Step 4: Simplify right side
    193,084x = 87,244,618,384
  5. Step 5: Solve for x
    x = 87,244,618,384/193,084
  6. Step 6: Final answer
    x = 451,848.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.