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Finding the Third Proportional to 161,991.75 and 334,334.25

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Solution

The third proportional to 161,991.75 and 334,334.25 is: 690,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,991.75 : 334,334.25 = 334,334.25 : x
  2. Step 2: Convert to fraction form
    161,991.75/334,334.25 = 334,334.25/x
  3. Step 3: Cross multiply
    161,991.75x = 334,334.25 × 334,334.25
  4. Step 4: Simplify right side
    161,991.75x = 111,779,390,723.06
  5. Step 5: Solve for x
    x = 111,779,390,723.06/161,991.75
  6. Step 6: Final answer
    x = 690,031.38

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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.