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Finding the Third Proportional to 162,756 and 251,508

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Solution

The third proportional to 162,756 and 251,508 is: 388,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,756 : 251,508 = 251,508 : x
  2. Step 2: Convert to fraction form
    162,756/251,508 = 251,508/x
  3. Step 3: Cross multiply
    162,756x = 251,508 × 251,508
  4. Step 4: Simplify right side
    162,756x = 63,256,274,064
  5. Step 5: Solve for x
    x = 63,256,274,064/162,756
  6. Step 6: Final answer
    x = 388,657.09

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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.