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Finding the Third Proportional to 179,859.50 and 263,957

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Solution

The third proportional to 179,859.50 and 263,957 is: 387,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,859.50 : 263,957 = 263,957 : x
  2. Step 2: Convert to fraction form
    179,859.50/263,957 = 263,957/x
  3. Step 3: Cross multiply
    179,859.50x = 263,957 × 263,957
  4. Step 4: Simplify right side
    179,859.50x = 69,673,297,849
  5. Step 5: Solve for x
    x = 69,673,297,849/179,859.50
  6. Step 6: Final answer
    x = 387,376.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.