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Finding the Third Proportional to 169,014 and 367,458

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Solution

The third proportional to 169,014 and 367,458 is: 798,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,014 : 367,458 = 367,458 : x
  2. Step 2: Convert to fraction form
    169,014/367,458 = 367,458/x
  3. Step 3: Cross multiply
    169,014x = 367,458 × 367,458
  4. Step 4: Simplify right side
    169,014x = 135,025,381,764
  5. Step 5: Solve for x
    x = 135,025,381,764/169,014
  6. Step 6: Final answer
    x = 798,900.57

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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.