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Finding the Third Proportional to 162,508 and 248,082

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Solution

The third proportional to 162,508 and 248,082 is: 378,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,508 : 248,082 = 248,082 : x
  2. Step 2: Convert to fraction form
    162,508/248,082 = 248,082/x
  3. Step 3: Cross multiply
    162,508x = 248,082 × 248,082
  4. Step 4: Simplify right side
    162,508x = 61,544,678,724
  5. Step 5: Solve for x
    x = 61,544,678,724/162,508
  6. Step 6: Final answer
    x = 378,717.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.