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Finding the Third Proportional to 161,821.50 and 344,055

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Solution

The third proportional to 161,821.50 and 344,055 is: 731,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,821.50 : 344,055 = 344,055 : x
  2. Step 2: Convert to fraction form
    161,821.50/344,055 = 344,055/x
  3. Step 3: Cross multiply
    161,821.50x = 344,055 × 344,055
  4. Step 4: Simplify right side
    161,821.50x = 118,373,843,025
  5. Step 5: Solve for x
    x = 118,373,843,025/161,821.50
  6. Step 6: Final answer
    x = 731,508.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.