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Finding the Third Proportional to 161,992.50 and 334,335.50

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Solution

The third proportional to 161,992.50 and 334,335.50 is: 690,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,992.50 : 334,335.50 = 334,335.50 : x
  2. Step 2: Convert to fraction form
    161,992.50/334,335.50 = 334,335.50/x
  3. Step 3: Cross multiply
    161,992.50x = 334,335.50 × 334,335.50
  4. Step 4: Simplify right side
    161,992.50x = 111,780,226,560.25
  5. Step 5: Solve for x
    x = 111,780,226,560.25/161,992.50
  6. Step 6: Final answer
    x = 690,033.34

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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.