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Finding the Third Proportional to 134,714 and 196,148

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Solution

The third proportional to 134,714 and 196,148 is: 285,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,714 : 196,148 = 196,148 : x
  2. Step 2: Convert to fraction form
    134,714/196,148 = 196,148/x
  3. Step 3: Cross multiply
    134,714x = 196,148 × 196,148
  4. Step 4: Simplify right side
    134,714x = 38,474,037,904
  5. Step 5: Solve for x
    x = 38,474,037,904/134,714
  6. Step 6: Final answer
    x = 285,597.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.