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Finding the Third Proportional to 169,074 and 263,709

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Solution

The third proportional to 169,074 and 263,709 is: 411,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,074 : 263,709 = 263,709 : x
  2. Step 2: Convert to fraction form
    169,074/263,709 = 263,709/x
  3. Step 3: Cross multiply
    169,074x = 263,709 × 263,709
  4. Step 4: Simplify right side
    169,074x = 69,542,436,681
  5. Step 5: Solve for x
    x = 69,542,436,681/169,074
  6. Step 6: Final answer
    x = 411,313.61

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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.