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Finding the Third Proportional to 102,822 and 224,322

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Solution

The third proportional to 102,822 and 224,322 is: 489,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,822 : 224,322 = 224,322 : x
  2. Step 2: Convert to fraction form
    102,822/224,322 = 224,322/x
  3. Step 3: Cross multiply
    102,822x = 224,322 × 224,322
  4. Step 4: Simplify right side
    102,822x = 50,320,359,684
  5. Step 5: Solve for x
    x = 50,320,359,684/102,822
  6. Step 6: Final answer
    x = 489,392.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.