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Finding the Third Proportional to 159,161 and 248,429

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Solution

The third proportional to 159,161 and 248,429 is: 387,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,161 : 248,429 = 248,429 : x
  2. Step 2: Convert to fraction form
    159,161/248,429 = 248,429/x
  3. Step 3: Cross multiply
    159,161x = 248,429 × 248,429
  4. Step 4: Simplify right side
    159,161x = 61,716,968,041
  5. Step 5: Solve for x
    x = 61,716,968,041/159,161
  6. Step 6: Final answer
    x = 387,764.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.