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Finding the Third Proportional to 241,970 and 363,195

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Solution

The third proportional to 241,970 and 363,195 is: 545,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,970 : 363,195 = 363,195 : x
  2. Step 2: Convert to fraction form
    241,970/363,195 = 363,195/x
  3. Step 3: Cross multiply
    241,970x = 363,195 × 363,195
  4. Step 4: Simplify right side
    241,970x = 131,910,608,025
  5. Step 5: Solve for x
    x = 131,910,608,025/241,970
  6. Step 6: Final answer
    x = 545,152.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.