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Finding the Third Proportional to 102,716 and 224,338

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Solution

The third proportional to 102,716 and 224,338 is: 489,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,716 : 224,338 = 224,338 : x
  2. Step 2: Convert to fraction form
    102,716/224,338 = 224,338/x
  3. Step 3: Cross multiply
    102,716x = 224,338 × 224,338
  4. Step 4: Simplify right side
    102,716x = 50,327,538,244
  5. Step 5: Solve for x
    x = 50,327,538,244/102,716
  6. Step 6: Final answer
    x = 489,967.86

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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.