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Finding the Third Proportional to 169,533 and 230,249.25

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Solution

The third proportional to 169,533 and 230,249.25 is: 312,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,533 : 230,249.25 = 230,249.25 : x
  2. Step 2: Convert to fraction form
    169,533/230,249.25 = 230,249.25/x
  3. Step 3: Cross multiply
    169,533x = 230,249.25 × 230,249.25
  4. Step 4: Simplify right side
    169,533x = 53,014,717,125.56
  5. Step 5: Solve for x
    x = 53,014,717,125.56/169,533
  6. Step 6: Final answer
    x = 312,710.31

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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.