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Finding the Third Proportional to 134,764 and 206,247

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Solution

The third proportional to 134,764 and 206,247 is: 315,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,764 : 206,247 = 206,247 : x
  2. Step 2: Convert to fraction form
    134,764/206,247 = 206,247/x
  3. Step 3: Cross multiply
    134,764x = 206,247 × 206,247
  4. Step 4: Simplify right side
    134,764x = 42,537,825,009
  5. Step 5: Solve for x
    x = 42,537,825,009/134,764
  6. Step 6: Final answer
    x = 315,646.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.