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Finding the Third Proportional to 147,228.75 and 226,617.75

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Solution

The third proportional to 147,228.75 and 226,617.75 is: 348,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,228.75 : 226,617.75 = 226,617.75 : x
  2. Step 2: Convert to fraction form
    147,228.75/226,617.75 = 226,617.75/x
  3. Step 3: Cross multiply
    147,228.75x = 226,617.75 × 226,617.75
  4. Step 4: Simplify right side
    147,228.75x = 51,355,604,615.06
  5. Step 5: Solve for x
    x = 51,355,604,615.06/147,228.75
  6. Step 6: Final answer
    x = 348,815.06

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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.