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Finding the Third Proportional to 170,823 and 260,365.50

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Solution

The third proportional to 170,823 and 260,365.50 is: 396,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,823 : 260,365.50 = 260,365.50 : x
  2. Step 2: Convert to fraction form
    170,823/260,365.50 = 260,365.50/x
  3. Step 3: Cross multiply
    170,823x = 260,365.50 × 260,365.50
  4. Step 4: Simplify right side
    170,823x = 67,790,193,590.25
  5. Step 5: Solve for x
    x = 67,790,193,590.25/170,823
  6. Step 6: Final answer
    x = 396,844.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.