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Finding the Third Proportional to 162,723 and 251,936

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Solution

The third proportional to 162,723 and 251,936 is: 390,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,723 : 251,936 = 251,936 : x
  2. Step 2: Convert to fraction form
    162,723/251,936 = 251,936/x
  3. Step 3: Cross multiply
    162,723x = 251,936 × 251,936
  4. Step 4: Simplify right side
    162,723x = 63,471,748,096
  5. Step 5: Solve for x
    x = 63,471,748,096/162,723
  6. Step 6: Final answer
    x = 390,060.09

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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.