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Finding the Third Proportional to 163,864 and 224,257

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Solution

The third proportional to 163,864 and 224,257 is: 306,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,864 : 224,257 = 224,257 : x
  2. Step 2: Convert to fraction form
    163,864/224,257 = 224,257/x
  3. Step 3: Cross multiply
    163,864x = 224,257 × 224,257
  4. Step 4: Simplify right side
    163,864x = 50,291,202,049
  5. Step 5: Solve for x
    x = 50,291,202,049/163,864
  6. Step 6: Final answer
    x = 306,908.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.