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Finding the Third Proportional to 168,037 and 266,207

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Solution

The third proportional to 168,037 and 266,207 is: 421,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,037 : 266,207 = 266,207 : x
  2. Step 2: Convert to fraction form
    168,037/266,207 = 266,207/x
  3. Step 3: Cross multiply
    168,037x = 266,207 × 266,207
  4. Step 4: Simplify right side
    168,037x = 70,866,166,849
  5. Step 5: Solve for x
    x = 70,866,166,849/168,037
  6. Step 6: Final answer
    x = 421,729.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.