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Finding the Third Proportional to 169,576 and 230,306

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Solution

The third proportional to 169,576 and 230,306 is: 312,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,576 : 230,306 = 230,306 : x
  2. Step 2: Convert to fraction form
    169,576/230,306 = 230,306/x
  3. Step 3: Cross multiply
    169,576x = 230,306 × 230,306
  4. Step 4: Simplify right side
    169,576x = 53,040,853,636
  5. Step 5: Solve for x
    x = 53,040,853,636/169,576
  6. Step 6: Final answer
    x = 312,785.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.