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Finding the Third Proportional to 161,991 and 334,332.56

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Solution

The third proportional to 161,991 and 334,332.56 is: 690,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,991 : 334,332.56 = 334,332.56 : x
  2. Step 2: Convert to fraction form
    161,991/334,332.56 = 334,332.56/x
  3. Step 3: Cross multiply
    161,991x = 334,332.56 × 334,332.56
  4. Step 4: Simplify right side
    161,991x = 111,778,262,347.82
  5. Step 5: Solve for x
    x = 111,778,262,347.82/161,991
  6. Step 6: Final answer
    x = 690,027.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.