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Finding the Third Proportional to 135,135 and 211,984

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Solution

The third proportional to 135,135 and 211,984 is: 332,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,135 : 211,984 = 211,984 : x
  2. Step 2: Convert to fraction form
    135,135/211,984 = 211,984/x
  3. Step 3: Cross multiply
    135,135x = 211,984 × 211,984
  4. Step 4: Simplify right side
    135,135x = 44,937,216,256
  5. Step 5: Solve for x
    x = 44,937,216,256/135,135
  6. Step 6: Final answer
    x = 332,535.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.