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Finding the Third Proportional to 171,564.75 and 260,263.50

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Solution

The third proportional to 171,564.75 and 260,263.50 is: 394,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,564.75 : 260,263.50 = 260,263.50 : x
  2. Step 2: Convert to fraction form
    171,564.75/260,263.50 = 260,263.50/x
  3. Step 3: Cross multiply
    171,564.75x = 260,263.50 × 260,263.50
  4. Step 4: Simplify right side
    171,564.75x = 67,737,089,432.25
  5. Step 5: Solve for x
    x = 67,737,089,432.25/171,564.75
  6. Step 6: Final answer
    x = 394,819.39

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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.