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Finding the Third Proportional to 134,915 and 194,331

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Solution

The third proportional to 134,915 and 194,331 is: 279,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,915 : 194,331 = 194,331 : x
  2. Step 2: Convert to fraction form
    134,915/194,331 = 194,331/x
  3. Step 3: Cross multiply
    134,915x = 194,331 × 194,331
  4. Step 4: Simplify right side
    134,915x = 37,764,537,561
  5. Step 5: Solve for x
    x = 37,764,537,561/134,915
  6. Step 6: Final answer
    x = 279,913.56

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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.