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Finding the Third Proportional to 171,569 and 247,511

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Solution

The third proportional to 171,569 and 247,511 is: 357,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,569 : 247,511 = 247,511 : x
  2. Step 2: Convert to fraction form
    171,569/247,511 = 247,511/x
  3. Step 3: Cross multiply
    171,569x = 247,511 × 247,511
  4. Step 4: Simplify right side
    171,569x = 61,261,695,121
  5. Step 5: Solve for x
    x = 61,261,695,121/171,569
  6. Step 6: Final answer
    x = 357,067.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.