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Finding the Third Proportional to 130,155.75 and 196,620.25

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Solution

The third proportional to 130,155.75 and 196,620.25 is: 297,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,155.75 : 196,620.25 = 196,620.25 : x
  2. Step 2: Convert to fraction form
    130,155.75/196,620.25 = 196,620.25/x
  3. Step 3: Cross multiply
    130,155.75x = 196,620.25 × 196,620.25
  4. Step 4: Simplify right side
    130,155.75x = 38,659,522,710.06
  5. Step 5: Solve for x
    x = 38,659,522,710.06/130,155.75
  6. Step 6: Final answer
    x = 297,025.09

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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.