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Finding the Third Proportional to 135,233 and 210,219.50

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Solution

The third proportional to 135,233 and 210,219.50 is: 326,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,233 : 210,219.50 = 210,219.50 : x
  2. Step 2: Convert to fraction form
    135,233/210,219.50 = 210,219.50/x
  3. Step 3: Cross multiply
    135,233x = 210,219.50 × 210,219.50
  4. Step 4: Simplify right side
    135,233x = 44,192,238,180.25
  5. Step 5: Solve for x
    x = 44,192,238,180.25/135,233
  6. Step 6: Final answer
    x = 326,785.90

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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.