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Finding the Third Proportional to 130,956.75 and 202,847.06

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Solution

The third proportional to 130,956.75 and 202,847.06 is: 314,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,956.75 : 202,847.06 = 202,847.06 : x
  2. Step 2: Convert to fraction form
    130,956.75/202,847.06 = 202,847.06/x
  3. Step 3: Cross multiply
    130,956.75x = 202,847.06 × 202,847.06
  4. Step 4: Simplify right side
    130,956.75x = 41,146,930,764.88
  5. Step 5: Solve for x
    x = 41,146,930,764.88/130,956.75
  6. Step 6: Final answer
    x = 314,202.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.