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Finding the Third Proportional to 156,733.88 and 242,161.31

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Solution

The third proportional to 156,733.88 and 242,161.31 is: 374,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,733.88 : 242,161.31 = 242,161.31 : x
  2. Step 2: Convert to fraction form
    156,733.88/242,161.31 = 242,161.31/x
  3. Step 3: Cross multiply
    156,733.88x = 242,161.31 × 242,161.31
  4. Step 4: Simplify right side
    156,733.88x = 58,642,101,271.72
  5. Step 5: Solve for x
    x = 58,642,101,271.72/156,733.88
  6. Step 6: Final answer
    x = 374,150.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.