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Finding the Third Proportional to 147,537.75 and 227,844.38

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Solution

The third proportional to 147,537.75 and 227,844.38 is: 351,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,537.75 : 227,844.38 = 227,844.38 : x
  2. Step 2: Convert to fraction form
    147,537.75/227,844.38 = 227,844.38/x
  3. Step 3: Cross multiply
    147,537.75x = 227,844.38 × 227,844.38
  4. Step 4: Simplify right side
    147,537.75x = 51,913,059,219.14
  5. Step 5: Solve for x
    x = 51,913,059,219.14/147,537.75
  6. Step 6: Final answer
    x = 351,862.89

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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.