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Finding the Third Proportional to 163,956 and 250,692

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Solution

The third proportional to 163,956 and 250,692 is: 383,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,956 : 250,692 = 250,692 : x
  2. Step 2: Convert to fraction form
    163,956/250,692 = 250,692/x
  3. Step 3: Cross multiply
    163,956x = 250,692 × 250,692
  4. Step 4: Simplify right side
    163,956x = 62,846,478,864
  5. Step 5: Solve for x
    x = 62,846,478,864/163,956
  6. Step 6: Final answer
    x = 383,313.08

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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.