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Finding the Third Proportional to 189,646.31 and 266,770.97

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Solution

The third proportional to 189,646.31 and 266,770.97 is: 375,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,646.31 : 266,770.97 = 266,770.97 : x
  2. Step 2: Convert to fraction form
    189,646.31/266,770.97 = 266,770.97/x
  3. Step 3: Cross multiply
    189,646.31x = 266,770.97 × 266,770.97
  4. Step 4: Simplify right side
    189,646.31x = 71,166,749,767.81
  5. Step 5: Solve for x
    x = 71,166,749,767.81/189,646.31
  6. Step 6: Final answer
    x = 375,260.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.