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Finding the Third Proportional to 228,097.13 and 333,478.69

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Solution

The third proportional to 228,097.13 and 333,478.69 is: 487,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,097.13 : 333,478.69 = 333,478.69 : x
  2. Step 2: Convert to fraction form
    228,097.13/333,478.69 = 333,478.69/x
  3. Step 3: Cross multiply
    228,097.13x = 333,478.69 × 333,478.69
  4. Step 4: Simplify right side
    228,097.13x = 111,208,035,016.72
  5. Step 5: Solve for x
    x = 111,208,035,016.72/228,097.13
  6. Step 6: Final answer
    x = 487,546.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.