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Finding the Third Proportional to 147,474 and 226,982.25

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Solution

The third proportional to 147,474 and 226,982.25 is: 349,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,474 : 226,982.25 = 226,982.25 : x
  2. Step 2: Convert to fraction form
    147,474/226,982.25 = 226,982.25/x
  3. Step 3: Cross multiply
    147,474x = 226,982.25 × 226,982.25
  4. Step 4: Simplify right side
    147,474x = 51,520,941,815.06
  5. Step 5: Solve for x
    x = 51,520,941,815.06/147,474
  6. Step 6: Final answer
    x = 349,356.10

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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.