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Finding the Third Proportional to 135,392 and 209,537.81

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Solution

The third proportional to 135,392 and 209,537.81 is: 324,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,392 : 209,537.81 = 209,537.81 : x
  2. Step 2: Convert to fraction form
    135,392/209,537.81 = 209,537.81/x
  3. Step 3: Cross multiply
    135,392x = 209,537.81 × 209,537.81
  4. Step 4: Simplify right side
    135,392x = 43,906,094,867.29
  5. Step 5: Solve for x
    x = 43,906,094,867.29/135,392
  6. Step 6: Final answer
    x = 324,288.69

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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.