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Finding the Third Proportional to 147,165.50 and 226,489

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Solution

The third proportional to 147,165.50 and 226,489 is: 348,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,165.50 : 226,489 = 226,489 : x
  2. Step 2: Convert to fraction form
    147,165.50/226,489 = 226,489/x
  3. Step 3: Cross multiply
    147,165.50x = 226,489 × 226,489
  4. Step 4: Simplify right side
    147,165.50x = 51,297,267,121
  5. Step 5: Solve for x
    x = 51,297,267,121/147,165.50
  6. Step 6: Final answer
    x = 348,568.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.