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Finding the Third Proportional to 162,772 and 248,849

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Solution

The third proportional to 162,772 and 248,849 is: 380,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,772 : 248,849 = 248,849 : x
  2. Step 2: Convert to fraction form
    162,772/248,849 = 248,849/x
  3. Step 3: Cross multiply
    162,772x = 248,849 × 248,849
  4. Step 4: Simplify right side
    162,772x = 61,925,824,801
  5. Step 5: Solve for x
    x = 61,925,824,801/162,772
  6. Step 6: Final answer
    x = 380,445.19

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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.