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Finding the Third Proportional to 163,902 and 250,230

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Solution

The third proportional to 163,902 and 250,230 is: 382,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,902 : 250,230 = 250,230 : x
  2. Step 2: Convert to fraction form
    163,902/250,230 = 250,230/x
  3. Step 3: Cross multiply
    163,902x = 250,230 × 250,230
  4. Step 4: Simplify right side
    163,902x = 62,615,052,900
  5. Step 5: Solve for x
    x = 62,615,052,900/163,902
  6. Step 6: Final answer
    x = 382,027.39

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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.