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Finding the Third Proportional to 168,036 and 266,205

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Solution

The third proportional to 168,036 and 266,205 is: 421,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,036 : 266,205 = 266,205 : x
  2. Step 2: Convert to fraction form
    168,036/266,205 = 266,205/x
  3. Step 3: Cross multiply
    168,036x = 266,205 × 266,205
  4. Step 4: Simplify right side
    168,036x = 70,865,102,025
  5. Step 5: Solve for x
    x = 70,865,102,025/168,036
  6. Step 6: Final answer
    x = 421,725.71

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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.