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Finding the Third Proportional to 162,578 and 250,086

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Solution

The third proportional to 162,578 and 250,086 is: 384,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,578 : 250,086 = 250,086 : x
  2. Step 2: Convert to fraction form
    162,578/250,086 = 250,086/x
  3. Step 3: Cross multiply
    162,578x = 250,086 × 250,086
  4. Step 4: Simplify right side
    162,578x = 62,543,007,396
  5. Step 5: Solve for x
    x = 62,543,007,396/162,578
  6. Step 6: Final answer
    x = 384,695.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.