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Finding the Third Proportional to 130,190 and 196,725

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Solution

The third proportional to 130,190 and 196,725 is: 297,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,190 : 196,725 = 196,725 : x
  2. Step 2: Convert to fraction form
    130,190/196,725 = 196,725/x
  3. Step 3: Cross multiply
    130,190x = 196,725 × 196,725
  4. Step 4: Simplify right side
    130,190x = 38,700,725,625
  5. Step 5: Solve for x
    x = 38,700,725,625/130,190
  6. Step 6: Final answer
    x = 297,263.43

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