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Finding the Third Proportional to 147,171.94 and 226,498.78

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Solution

The third proportional to 147,171.94 and 226,498.78 is: 348,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,171.94 : 226,498.78 = 226,498.78 : x
  2. Step 2: Convert to fraction form
    147,171.94/226,498.78 = 226,498.78/x
  3. Step 3: Cross multiply
    147,171.94x = 226,498.78 × 226,498.78
  4. Step 4: Simplify right side
    147,171.94x = 51,301,697,907.74
  5. Step 5: Solve for x
    x = 51,301,697,907.74/147,171.94
  6. Step 6: Final answer
    x = 348,583.42

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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.