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Finding the Third Proportional to 152,711 and 327,994

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Solution

The third proportional to 152,711 and 327,994 is: 704,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,711 : 327,994 = 327,994 : x
  2. Step 2: Convert to fraction form
    152,711/327,994 = 327,994/x
  3. Step 3: Cross multiply
    152,711x = 327,994 × 327,994
  4. Step 4: Simplify right side
    152,711x = 107,580,064,036
  5. Step 5: Solve for x
    x = 107,580,064,036/152,711
  6. Step 6: Final answer
    x = 704,468.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.