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Finding the Third Proportional to 162,751 and 251,502

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Solution

The third proportional to 162,751 and 251,502 is: 388,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,751 : 251,502 = 251,502 : x
  2. Step 2: Convert to fraction form
    162,751/251,502 = 251,502/x
  3. Step 3: Cross multiply
    162,751x = 251,502 × 251,502
  4. Step 4: Simplify right side
    162,751x = 63,253,256,004
  5. Step 5: Solve for x
    x = 63,253,256,004/162,751
  6. Step 6: Final answer
    x = 388,650.49

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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.