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Finding the Third Proportional to 228,969 and 336,832.50

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Solution

The third proportional to 228,969 and 336,832.50 is: 495,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969 : 336,832.50 = 336,832.50 : x
  2. Step 2: Convert to fraction form
    228,969/336,832.50 = 336,832.50/x
  3. Step 3: Cross multiply
    228,969x = 336,832.50 × 336,832.50
  4. Step 4: Simplify right side
    228,969x = 113,456,133,056.25
  5. Step 5: Solve for x
    x = 113,456,133,056.25/228,969
  6. Step 6: Final answer
    x = 495,508.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.