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Finding the Third Proportional to 228,969 and 336,828

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Solution

The third proportional to 228,969 and 336,828 is: 495,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969 : 336,828 = 336,828 : x
  2. Step 2: Convert to fraction form
    228,969/336,828 = 336,828/x
  3. Step 3: Cross multiply
    228,969x = 336,828 × 336,828
  4. Step 4: Simplify right side
    228,969x = 113,453,101,584
  5. Step 5: Solve for x
    x = 113,453,101,584/228,969
  6. Step 6: Final answer
    x = 495,495.47

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Why These Related Problems?

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