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Finding the Third Proportional to 241,272 and 354,891

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Solution

The third proportional to 241,272 and 354,891 is: 522,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,272 : 354,891 = 354,891 : x
  2. Step 2: Convert to fraction form
    241,272/354,891 = 354,891/x
  3. Step 3: Cross multiply
    241,272x = 354,891 × 354,891
  4. Step 4: Simplify right side
    241,272x = 125,947,621,881
  5. Step 5: Solve for x
    x = 125,947,621,881/241,272
  6. Step 6: Final answer
    x = 522,015.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.