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Finding the Third Proportional to 171,978.19 and 260,564.34

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Solution

The third proportional to 171,978.19 and 260,564.34 is: 394,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,978.19 : 260,564.34 = 260,564.34 : x
  2. Step 2: Convert to fraction form
    171,978.19/260,564.34 = 260,564.34/x
  3. Step 3: Cross multiply
    171,978.19x = 260,564.34 × 260,564.34
  4. Step 4: Simplify right side
    171,978.19x = 67,893,777,233.87
  5. Step 5: Solve for x
    x = 67,893,777,233.87/171,978.19
  6. Step 6: Final answer
    x = 394,781.33

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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.