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Finding the Third Proportional to 228,951.56 and 336,567.34

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Solution

The third proportional to 228,951.56 and 336,567.34 is: 494,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,951.56 : 336,567.34 = 336,567.34 : x
  2. Step 2: Convert to fraction form
    228,951.56/336,567.34 = 336,567.34/x
  3. Step 3: Cross multiply
    228,951.56x = 336,567.34 × 336,567.34
  4. Step 4: Simplify right side
    228,951.56x = 113,277,574,249.50
  5. Step 5: Solve for x
    x = 113,277,574,249.50/228,951.56
  6. Step 6: Final answer
    x = 494,766.55

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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.