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Finding the Third Proportional to 241,419 and 365,232

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Solution

The third proportional to 241,419 and 365,232 is: 552,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,419 : 365,232 = 365,232 : x
  2. Step 2: Convert to fraction form
    241,419/365,232 = 365,232/x
  3. Step 3: Cross multiply
    241,419x = 365,232 × 365,232
  4. Step 4: Simplify right side
    241,419x = 133,394,413,824
  5. Step 5: Solve for x
    x = 133,394,413,824/241,419
  6. Step 6: Final answer
    x = 552,543.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.