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Finding the Third Proportional to 162,372 and 242,898

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Solution

The third proportional to 162,372 and 242,898 is: 363,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,372 : 242,898 = 242,898 : x
  2. Step 2: Convert to fraction form
    162,372/242,898 = 242,898/x
  3. Step 3: Cross multiply
    162,372x = 242,898 × 242,898
  4. Step 4: Simplify right side
    162,372x = 58,999,438,404
  5. Step 5: Solve for x
    x = 58,999,438,404/162,372
  6. Step 6: Final answer
    x = 363,359.68

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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.