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Finding the Third Proportional to 156,035 and 330,664

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Solution

The third proportional to 156,035 and 330,664 is: 700,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,035 : 330,664 = 330,664 : x
  2. Step 2: Convert to fraction form
    156,035/330,664 = 330,664/x
  3. Step 3: Cross multiply
    156,035x = 330,664 × 330,664
  4. Step 4: Simplify right side
    156,035x = 109,338,680,896
  5. Step 5: Solve for x
    x = 109,338,680,896/156,035
  6. Step 6: Final answer
    x = 700,731.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.