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Finding the Third Proportional to 151,977 and 330,711

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Solution

The third proportional to 151,977 and 330,711 is: 719,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,977 : 330,711 = 330,711 : x
  2. Step 2: Convert to fraction form
    151,977/330,711 = 330,711/x
  3. Step 3: Cross multiply
    151,977x = 330,711 × 330,711
  4. Step 4: Simplify right side
    151,977x = 109,369,765,521
  5. Step 5: Solve for x
    x = 109,369,765,521/151,977
  6. Step 6: Final answer
    x = 719,646.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.