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Finding the Third Proportional to 241,272 and 317,272

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Solution

The third proportional to 241,272 and 317,272 is: 417,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,272 : 317,272 = 317,272 : x
  2. Step 2: Convert to fraction form
    241,272/317,272 = 317,272/x
  3. Step 3: Cross multiply
    241,272x = 317,272 × 317,272
  4. Step 4: Simplify right side
    241,272x = 100,661,521,984
  5. Step 5: Solve for x
    x = 100,661,521,984/241,272
  6. Step 6: Final answer
    x = 417,211.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.