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Finding the Third Proportional to 135,804 and 211,470

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Solution

The third proportional to 135,804 and 211,470 is: 329,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,804 : 211,470 = 211,470 : x
  2. Step 2: Convert to fraction form
    135,804/211,470 = 211,470/x
  3. Step 3: Cross multiply
    135,804x = 211,470 × 211,470
  4. Step 4: Simplify right side
    135,804x = 44,719,560,900
  5. Step 5: Solve for x
    x = 44,719,560,900/135,804
  6. Step 6: Final answer
    x = 329,294.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.