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Finding the Third Proportional to 168,068 and 224,262

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Solution

The third proportional to 168,068 and 224,262 is: 299,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,068 : 224,262 = 224,262 : x
  2. Step 2: Convert to fraction form
    168,068/224,262 = 224,262/x
  3. Step 3: Cross multiply
    168,068x = 224,262 × 224,262
  4. Step 4: Simplify right side
    168,068x = 50,293,444,644
  5. Step 5: Solve for x
    x = 50,293,444,644/168,068
  6. Step 6: Final answer
    x = 299,244.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.