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Finding the Third Proportional to 161,959.50 and 334,292.06

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Solution

The third proportional to 161,959.50 and 334,292.06 is: 689,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,959.50 : 334,292.06 = 334,292.06 : x
  2. Step 2: Convert to fraction form
    161,959.50/334,292.06 = 334,292.06/x
  3. Step 3: Cross multiply
    161,959.50x = 334,292.06 × 334,292.06
  4. Step 4: Simplify right side
    161,959.50x = 111,751,183,050.50
  5. Step 5: Solve for x
    x = 111,751,183,050.50/161,959.50
  6. Step 6: Final answer
    x = 689,994.62

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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.