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Finding the Third Proportional to 171,725 and 252,621

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Solution

The third proportional to 171,725 and 252,621 is: 371,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,725 : 252,621 = 252,621 : x
  2. Step 2: Convert to fraction form
    171,725/252,621 = 252,621/x
  3. Step 3: Cross multiply
    171,725x = 252,621 × 252,621
  4. Step 4: Simplify right side
    171,725x = 63,817,369,641
  5. Step 5: Solve for x
    x = 63,817,369,641/171,725
  6. Step 6: Final answer
    x = 371,625.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.