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Finding the Third Proportional to 157,629.38 and 238,079.25

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Solution

The third proportional to 157,629.38 and 238,079.25 is: 359,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,629.38 : 238,079.25 = 238,079.25 : x
  2. Step 2: Convert to fraction form
    157,629.38/238,079.25 = 238,079.25/x
  3. Step 3: Cross multiply
    157,629.38x = 238,079.25 × 238,079.25
  4. Step 4: Simplify right side
    157,629.38x = 56,681,729,280.56
  5. Step 5: Solve for x
    x = 56,681,729,280.56/157,629.38
  6. Step 6: Final answer
    x = 359,588.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.