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Finding the Third Proportional to 241,274 and 317,275

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Solution

The third proportional to 241,274 and 317,275 is: 417,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,274 : 317,275 = 317,275 : x
  2. Step 2: Convert to fraction form
    241,274/317,275 = 317,275/x
  3. Step 3: Cross multiply
    241,274x = 317,275 × 317,275
  4. Step 4: Simplify right side
    241,274x = 100,663,425,625
  5. Step 5: Solve for x
    x = 100,663,425,625/241,274
  6. Step 6: Final answer
    x = 417,216.22

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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.