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Finding the Third Proportional to 152,264 and 327,808

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Solution

The third proportional to 152,264 and 327,808 is: 705,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,264 : 327,808 = 327,808 : x
  2. Step 2: Convert to fraction form
    152,264/327,808 = 327,808/x
  3. Step 3: Cross multiply
    152,264x = 327,808 × 327,808
  4. Step 4: Simplify right side
    152,264x = 107,458,084,864
  5. Step 5: Solve for x
    x = 107,458,084,864/152,264
  6. Step 6: Final answer
    x = 705,735.33

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