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Finding the Third Proportional to 171,985 and 260,574

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Solution

The third proportional to 171,985 and 260,574 is: 394,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,985 : 260,574 = 260,574 : x
  2. Step 2: Convert to fraction form
    171,985/260,574 = 260,574/x
  3. Step 3: Cross multiply
    171,985x = 260,574 × 260,574
  4. Step 4: Simplify right side
    171,985x = 67,898,809,476
  5. Step 5: Solve for x
    x = 67,898,809,476/171,985
  6. Step 6: Final answer
    x = 394,794.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.