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Finding the Third Proportional to 156,696 and 238,938.75

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Solution

The third proportional to 156,696 and 238,938.75 is: 364,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,696 : 238,938.75 = 238,938.75 : x
  2. Step 2: Convert to fraction form
    156,696/238,938.75 = 238,938.75/x
  3. Step 3: Cross multiply
    156,696x = 238,938.75 × 238,938.75
  4. Step 4: Simplify right side
    156,696x = 57,091,726,251.56
  5. Step 5: Solve for x
    x = 57,091,726,251.56/156,696
  6. Step 6: Final answer
    x = 364,347.06

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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.