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Finding the Third Proportional to 130,574 and 195,366

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Solution

The third proportional to 130,574 and 195,366 is: 292,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,574 : 195,366 = 195,366 : x
  2. Step 2: Convert to fraction form
    130,574/195,366 = 195,366/x
  3. Step 3: Cross multiply
    130,574x = 195,366 × 195,366
  4. Step 4: Simplify right side
    130,574x = 38,167,873,956
  5. Step 5: Solve for x
    x = 38,167,873,956/130,574
  6. Step 6: Final answer
    x = 292,308.38

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