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Finding the Third Proportional to 169,137 and 367,785

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Solution

The third proportional to 169,137 and 367,785 is: 799,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,137 : 367,785 = 367,785 : x
  2. Step 2: Convert to fraction form
    169,137/367,785 = 367,785/x
  3. Step 3: Cross multiply
    169,137x = 367,785 × 367,785
  4. Step 4: Simplify right side
    169,137x = 135,265,806,225
  5. Step 5: Solve for x
    x = 135,265,806,225/169,137
  6. Step 6: Final answer
    x = 799,741.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.