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Finding the Third Proportional to 163,864 and 224,259

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Solution

The third proportional to 163,864 and 224,259 is: 306,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,864 : 224,259 = 224,259 : x
  2. Step 2: Convert to fraction form
    163,864/224,259 = 224,259/x
  3. Step 3: Cross multiply
    163,864x = 224,259 × 224,259
  4. Step 4: Simplify right side
    163,864x = 50,292,099,081
  5. Step 5: Solve for x
    x = 50,292,099,081/163,864
  6. Step 6: Final answer
    x = 306,913.65

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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.