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Finding the Third Proportional to 170,847 and 261,442.50

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Solution

The third proportional to 170,847 and 261,442.50 is: 400,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,847 : 261,442.50 = 261,442.50 : x
  2. Step 2: Convert to fraction form
    170,847/261,442.50 = 261,442.50/x
  3. Step 3: Cross multiply
    170,847x = 261,442.50 × 261,442.50
  4. Step 4: Simplify right side
    170,847x = 68,352,180,806.25
  5. Step 5: Solve for x
    x = 68,352,180,806.25/170,847
  6. Step 6: Final answer
    x = 400,078.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.