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Finding the Third Proportional to 135,249 and 210,246.75

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Solution

The third proportional to 135,249 and 210,246.75 is: 326,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,249 : 210,246.75 = 210,246.75 : x
  2. Step 2: Convert to fraction form
    135,249/210,246.75 = 210,246.75/x
  3. Step 3: Cross multiply
    135,249x = 210,246.75 × 210,246.75
  4. Step 4: Simplify right side
    135,249x = 44,203,695,885.56
  5. Step 5: Solve for x
    x = 44,203,695,885.56/135,249
  6. Step 6: Final answer
    x = 326,831.96

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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.