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Finding the Third Proportional to 135,226.50 and 210,210

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Solution

The third proportional to 135,226.50 and 210,210 is: 326,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,226.50 : 210,210 = 210,210 : x
  2. Step 2: Convert to fraction form
    135,226.50/210,210 = 210,210/x
  3. Step 3: Cross multiply
    135,226.50x = 210,210 × 210,210
  4. Step 4: Simplify right side
    135,226.50x = 44,188,244,100
  5. Step 5: Solve for x
    x = 44,188,244,100/135,226.50
  6. Step 6: Final answer
    x = 326,772.08

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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.