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Finding the Third Proportional to 165,065.06 and 343,044.56

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Solution

The third proportional to 165,065.06 and 343,044.56 is: 712,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,065.06 : 343,044.56 = 343,044.56 : x
  2. Step 2: Convert to fraction form
    165,065.06/343,044.56 = 343,044.56/x
  3. Step 3: Cross multiply
    165,065.06x = 343,044.56 × 343,044.56
  4. Step 4: Simplify right side
    165,065.06x = 117,679,571,860.82
  5. Step 5: Solve for x
    x = 117,679,571,860.82/165,065.06
  6. Step 6: Final answer
    x = 712,928.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.