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Finding the Third Proportional to 164,923 and 246,952

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Solution

The third proportional to 164,923 and 246,952 is: 369,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,923 : 246,952 = 246,952 : x
  2. Step 2: Convert to fraction form
    164,923/246,952 = 246,952/x
  3. Step 3: Cross multiply
    164,923x = 246,952 × 246,952
  4. Step 4: Simplify right side
    164,923x = 60,985,290,304
  5. Step 5: Solve for x
    x = 60,985,290,304/164,923
  6. Step 6: Final answer
    x = 369,780.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.