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Finding the Third Proportional to 208,656 and 313,962

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Solution

The third proportional to 208,656 and 313,962 is: 472,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656 : 313,962 = 313,962 : x
  2. Step 2: Convert to fraction form
    208,656/313,962 = 313,962/x
  3. Step 3: Cross multiply
    208,656x = 313,962 × 313,962
  4. Step 4: Simplify right side
    208,656x = 98,572,137,444
  5. Step 5: Solve for x
    x = 98,572,137,444/208,656
  6. Step 6: Final answer
    x = 472,414.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.