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Finding the Third Proportional to 208,924 and 313,848

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Solution

The third proportional to 208,924 and 313,848 is: 471,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,924 : 313,848 = 313,848 : x
  2. Step 2: Convert to fraction form
    208,924/313,848 = 313,848/x
  3. Step 3: Cross multiply
    208,924x = 313,848 × 313,848
  4. Step 4: Simplify right side
    208,924x = 98,500,567,104
  5. Step 5: Solve for x
    x = 98,500,567,104/208,924
  6. Step 6: Final answer
    x = 471,466.02

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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.