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Finding the Third Proportional to 241,802 and 355,327

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Solution

The third proportional to 241,802 and 355,327 is: 522,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,802 : 355,327 = 355,327 : x
  2. Step 2: Convert to fraction form
    241,802/355,327 = 355,327/x
  3. Step 3: Cross multiply
    241,802x = 355,327 × 355,327
  4. Step 4: Simplify right side
    241,802x = 126,257,276,929
  5. Step 5: Solve for x
    x = 126,257,276,929/241,802
  6. Step 6: Final answer
    x = 522,151.50

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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.