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Finding the Third Proportional to 160,120.50 and 344,982

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Solution

The third proportional to 160,120.50 and 344,982 is: 743,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,120.50 : 344,982 = 344,982 : x
  2. Step 2: Convert to fraction form
    160,120.50/344,982 = 344,982/x
  3. Step 3: Cross multiply
    160,120.50x = 344,982 × 344,982
  4. Step 4: Simplify right side
    160,120.50x = 119,012,580,324
  5. Step 5: Solve for x
    x = 119,012,580,324/160,120.50
  6. Step 6: Final answer
    x = 743,268.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.