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Finding the Third Proportional to 161,677 and 333,732.75

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Solution

The third proportional to 161,677 and 333,732.75 is: 688,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,677 : 333,732.75 = 333,732.75 : x
  2. Step 2: Convert to fraction form
    161,677/333,732.75 = 333,732.75/x
  3. Step 3: Cross multiply
    161,677x = 333,732.75 × 333,732.75
  4. Step 4: Simplify right side
    161,677x = 111,377,548,422.56
  5. Step 5: Solve for x
    x = 111,377,548,422.56/161,677
  6. Step 6: Final answer
    x = 688,889.26

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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.