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Finding the Third Proportional to 156,683 and 369,801

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Solution

The third proportional to 156,683 and 369,801 is: 872,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,683 : 369,801 = 369,801 : x
  2. Step 2: Convert to fraction form
    156,683/369,801 = 369,801/x
  3. Step 3: Cross multiply
    156,683x = 369,801 × 369,801
  4. Step 4: Simplify right side
    156,683x = 136,752,779,601
  5. Step 5: Solve for x
    x = 136,752,779,601/156,683
  6. Step 6: Final answer
    x = 872,799.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.