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Finding the Third Proportional to 134,904 and 194,334

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Solution

The third proportional to 134,904 and 194,334 is: 279,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,904 : 194,334 = 194,334 : x
  2. Step 2: Convert to fraction form
    134,904/194,334 = 194,334/x
  3. Step 3: Cross multiply
    134,904x = 194,334 × 194,334
  4. Step 4: Simplify right side
    134,904x = 37,765,703,556
  5. Step 5: Solve for x
    x = 37,765,703,556/134,904
  6. Step 6: Final answer
    x = 279,945.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.