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Finding the Third Proportional to 161,808.50 and 354,721

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Solution

The third proportional to 161,808.50 and 354,721 is: 777,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,808.50 : 354,721 = 354,721 : x
  2. Step 2: Convert to fraction form
    161,808.50/354,721 = 354,721/x
  3. Step 3: Cross multiply
    161,808.50x = 354,721 × 354,721
  4. Step 4: Simplify right side
    161,808.50x = 125,826,987,841
  5. Step 5: Solve for x
    x = 125,826,987,841/161,808.50
  6. Step 6: Final answer
    x = 777,629.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.