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Finding the Third Proportional to 241,329 and 317,349

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Solution

The third proportional to 241,329 and 317,349 is: 417,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,329 : 317,349 = 317,349 : x
  2. Step 2: Convert to fraction form
    241,329/317,349 = 317,349/x
  3. Step 3: Cross multiply
    241,329x = 317,349 × 317,349
  4. Step 4: Simplify right side
    241,329x = 100,710,387,801
  5. Step 5: Solve for x
    x = 100,710,387,801/241,329
  6. Step 6: Final answer
    x = 417,315.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.