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Finding the Third Proportional to 130,336 and 198,016

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Solution

The third proportional to 130,336 and 198,016 is: 300,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,336 : 198,016 = 198,016 : x
  2. Step 2: Convert to fraction form
    130,336/198,016 = 198,016/x
  3. Step 3: Cross multiply
    130,336x = 198,016 × 198,016
  4. Step 4: Simplify right side
    130,336x = 39,210,336,256
  5. Step 5: Solve for x
    x = 39,210,336,256/130,336
  6. Step 6: Final answer
    x = 300,840.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.