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Finding the Third Proportional to 163,894 and 250,216

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Solution

The third proportional to 163,894 and 250,216 is: 382,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,894 : 250,216 = 250,216 : x
  2. Step 2: Convert to fraction form
    163,894/250,216 = 250,216/x
  3. Step 3: Cross multiply
    163,894x = 250,216 × 250,216
  4. Step 4: Simplify right side
    163,894x = 62,608,046,656
  5. Step 5: Solve for x
    x = 62,608,046,656/163,894
  6. Step 6: Final answer
    x = 382,003.29

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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.