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Finding the Third Proportional to 130,194 and 196,398

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Solution

The third proportional to 130,194 and 196,398 is: 296,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,194 : 196,398 = 196,398 : x
  2. Step 2: Convert to fraction form
    130,194/196,398 = 196,398/x
  3. Step 3: Cross multiply
    130,194x = 196,398 × 196,398
  4. Step 4: Simplify right side
    130,194x = 38,572,174,404
  5. Step 5: Solve for x
    x = 38,572,174,404/130,194
  6. Step 6: Final answer
    x = 296,266.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.