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Finding the Third Proportional to 130,216.50 and 196,956.75

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Solution

The third proportional to 130,216.50 and 196,956.75 is: 297,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,216.50 : 196,956.75 = 196,956.75 : x
  2. Step 2: Convert to fraction form
    130,216.50/196,956.75 = 196,956.75/x
  3. Step 3: Cross multiply
    130,216.50x = 196,956.75 × 196,956.75
  4. Step 4: Simplify right side
    130,216.50x = 38,791,961,370.56
  5. Step 5: Solve for x
    x = 38,791,961,370.56/130,216.50
  6. Step 6: Final answer
    x = 297,903.58

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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.