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Finding the Third Proportional to 208,032 and 313,242

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Solution

The third proportional to 208,032 and 313,242 is: 471,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032 : 313,242 = 313,242 : x
  2. Step 2: Convert to fraction form
    208,032/313,242 = 313,242/x
  3. Step 3: Cross multiply
    208,032x = 313,242 × 313,242
  4. Step 4: Simplify right side
    208,032x = 98,120,550,564
  5. Step 5: Solve for x
    x = 98,120,550,564/208,032
  6. Step 6: Final answer
    x = 471,660.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.