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Finding the Third Proportional to 147,181.50 and 227,715

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Solution

The third proportional to 147,181.50 and 227,715 is: 352,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,181.50 : 227,715 = 227,715 : x
  2. Step 2: Convert to fraction form
    147,181.50/227,715 = 227,715/x
  3. Step 3: Cross multiply
    147,181.50x = 227,715 × 227,715
  4. Step 4: Simplify right side
    147,181.50x = 51,854,121,225
  5. Step 5: Solve for x
    x = 51,854,121,225/147,181.50
  6. Step 6: Final answer
    x = 352,314.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.