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Finding the Third Proportional to 157,684.50 and 238,167

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Solution

The third proportional to 157,684.50 and 238,167 is: 359,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,684.50 : 238,167 = 238,167 : x
  2. Step 2: Convert to fraction form
    157,684.50/238,167 = 238,167/x
  3. Step 3: Cross multiply
    157,684.50x = 238,167 × 238,167
  4. Step 4: Simplify right side
    157,684.50x = 56,723,519,889
  5. Step 5: Solve for x
    x = 56,723,519,889/157,684.50
  6. Step 6: Final answer
    x = 359,727.94

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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.