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Finding the Third Proportional to 193,644 and 416,952

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Solution

The third proportional to 193,644 and 416,952 is: 897,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,644 : 416,952 = 416,952 : x
  2. Step 2: Convert to fraction form
    193,644/416,952 = 416,952/x
  3. Step 3: Cross multiply
    193,644x = 416,952 × 416,952
  4. Step 4: Simplify right side
    193,644x = 173,848,970,304
  5. Step 5: Solve for x
    x = 173,848,970,304/193,644
  6. Step 6: Final answer
    x = 897,776.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.