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Finding the Third Proportional to 130,854.75 and 196,276.50

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Solution

The third proportional to 130,854.75 and 196,276.50 is: 294,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,854.75 : 196,276.50 = 196,276.50 : x
  2. Step 2: Convert to fraction form
    130,854.75/196,276.50 = 196,276.50/x
  3. Step 3: Cross multiply
    130,854.75x = 196,276.50 × 196,276.50
  4. Step 4: Simplify right side
    130,854.75x = 38,524,464,452.25
  5. Step 5: Solve for x
    x = 38,524,464,452.25/130,854.75
  6. Step 6: Final answer
    x = 294,406.31

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Why These Related Problems?

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