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Finding the Third Proportional to 156,360 and 368,742

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Solution

The third proportional to 156,360 and 368,742 is: 869,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,360 : 368,742 = 368,742 : x
  2. Step 2: Convert to fraction form
    156,360/368,742 = 368,742/x
  3. Step 3: Cross multiply
    156,360x = 368,742 × 368,742
  4. Step 4: Simplify right side
    156,360x = 135,970,662,564
  5. Step 5: Solve for x
    x = 135,970,662,564/156,360
  6. Step 6: Final answer
    x = 869,600.04

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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.