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Finding the Third Proportional to 130,855 and 196,277

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Solution

The third proportional to 130,855 and 196,277 is: 294,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,855 : 196,277 = 196,277 : x
  2. Step 2: Convert to fraction form
    130,855/196,277 = 196,277/x
  3. Step 3: Cross multiply
    130,855x = 196,277 × 196,277
  4. Step 4: Simplify right side
    130,855x = 38,524,660,729
  5. Step 5: Solve for x
    x = 38,524,660,729/130,855
  6. Step 6: Final answer
    x = 294,407.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.