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Finding the Third Proportional to 228,968 and 336,831

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Solution

The third proportional to 228,968 and 336,831 is: 495,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,968 : 336,831 = 336,831 : x
  2. Step 2: Convert to fraction form
    228,968/336,831 = 336,831/x
  3. Step 3: Cross multiply
    228,968x = 336,831 × 336,831
  4. Step 4: Simplify right side
    228,968x = 113,455,122,561
  5. Step 5: Solve for x
    x = 113,455,122,561/228,968
  6. Step 6: Final answer
    x = 495,506.46

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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.