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Finding the Third Proportional to 135,225 and 210,208

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Solution

The third proportional to 135,225 and 210,208 is: 326,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,225 : 210,208 = 210,208 : x
  2. Step 2: Convert to fraction form
    135,225/210,208 = 210,208/x
  3. Step 3: Cross multiply
    135,225x = 210,208 × 210,208
  4. Step 4: Simplify right side
    135,225x = 44,187,403,264
  5. Step 5: Solve for x
    x = 44,187,403,264/135,225
  6. Step 6: Final answer
    x = 326,769.48

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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.