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Finding the Third Proportional to 238,474.13 and 308,503.69

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Solution

The third proportional to 238,474.13 and 308,503.69 is: 399,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,474.13 : 308,503.69 = 308,503.69 : x
  2. Step 2: Convert to fraction form
    238,474.13/308,503.69 = 308,503.69/x
  3. Step 3: Cross multiply
    238,474.13x = 308,503.69 × 308,503.69
  4. Step 4: Simplify right side
    238,474.13x = 95,174,525,201.10
  5. Step 5: Solve for x
    x = 95,174,525,201.10/238,474.13
  6. Step 6: Final answer
    x = 399,097.91

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.