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Finding the Third Proportional to 162,344 and 242,856

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Solution

The third proportional to 162,344 and 242,856 is: 363,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,344 : 242,856 = 242,856 : x
  2. Step 2: Convert to fraction form
    162,344/242,856 = 242,856/x
  3. Step 3: Cross multiply
    162,344x = 242,856 × 242,856
  4. Step 4: Simplify right side
    162,344x = 58,979,036,736
  5. Step 5: Solve for x
    x = 58,979,036,736/162,344
  6. Step 6: Final answer
    x = 363,296.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.