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Finding the Third Proportional to 152,521.75 and 231,892.38

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Solution

The third proportional to 152,521.75 and 231,892.38 is: 352,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,521.75 : 231,892.38 = 231,892.38 : x
  2. Step 2: Convert to fraction form
    152,521.75/231,892.38 = 231,892.38/x
  3. Step 3: Cross multiply
    152,521.75x = 231,892.38 × 231,892.38
  4. Step 4: Simplify right side
    152,521.75x = 53,774,073,583.14
  5. Step 5: Solve for x
    x = 53,774,073,583.14/152,521.75
  6. Step 6: Final answer
    x = 352,566.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.