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Finding the Third Proportional to 179,856 and 263,952

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Solution

The third proportional to 179,856 and 263,952 is: 387,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,856 : 263,952 = 263,952 : x
  2. Step 2: Convert to fraction form
    179,856/263,952 = 263,952/x
  3. Step 3: Cross multiply
    179,856x = 263,952 × 263,952
  4. Step 4: Simplify right side
    179,856x = 69,670,658,304
  5. Step 5: Solve for x
    x = 69,670,658,304/179,856
  6. Step 6: Final answer
    x = 387,369.11

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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.