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Finding the Third Proportional to 134,279.81 and 194,192.34

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Solution

The third proportional to 134,279.81 and 194,192.34 is: 280,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,279.81 : 194,192.34 = 194,192.34 : x
  2. Step 2: Convert to fraction form
    134,279.81/194,192.34 = 194,192.34/x
  3. Step 3: Cross multiply
    134,279.81x = 194,192.34 × 194,192.34
  4. Step 4: Simplify right side
    134,279.81x = 37,710,666,371.12
  5. Step 5: Solve for x
    x = 37,710,666,371.12/134,279.81
  6. Step 6: Final answer
    x = 280,836.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.