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Finding the Third Proportional to 135,206.44 and 210,184.31

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Solution

The third proportional to 135,206.44 and 210,184.31 is: 326,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.44 : 210,184.31 = 210,184.31 : x
  2. Step 2: Convert to fraction form
    135,206.44/210,184.31 = 210,184.31/x
  3. Step 3: Cross multiply
    135,206.44x = 210,184.31 × 210,184.31
  4. Step 4: Simplify right side
    135,206.44x = 44,177,445,221.10
  5. Step 5: Solve for x
    x = 44,177,445,221.10/135,206.44
  6. Step 6: Final answer
    x = 326,740.69

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