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Finding the Third Proportional to 183,427 and 241,205.50

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Solution

The third proportional to 183,427 and 241,205.50 is: 317,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,427 : 241,205.50 = 241,205.50 : x
  2. Step 2: Convert to fraction form
    183,427/241,205.50 = 241,205.50/x
  3. Step 3: Cross multiply
    183,427x = 241,205.50 × 241,205.50
  4. Step 4: Simplify right side
    183,427x = 58,180,093,230.25
  5. Step 5: Solve for x
    x = 58,180,093,230.25/183,427
  6. Step 6: Final answer
    x = 317,183.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.