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Finding the Third Proportional to 171,584 and 258,636

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Solution

The third proportional to 171,584 and 258,636 is: 389,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,584 : 258,636 = 258,636 : x
  2. Step 2: Convert to fraction form
    171,584/258,636 = 258,636/x
  3. Step 3: Cross multiply
    171,584x = 258,636 × 258,636
  4. Step 4: Simplify right side
    171,584x = 66,892,580,496
  5. Step 5: Solve for x
    x = 66,892,580,496/171,584
  6. Step 6: Final answer
    x = 389,853.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.