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Finding the Third Proportional to 171,724.50 and 252,621

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Solution

The third proportional to 171,724.50 and 252,621 is: 371,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,724.50 : 252,621 = 252,621 : x
  2. Step 2: Convert to fraction form
    171,724.50/252,621 = 252,621/x
  3. Step 3: Cross multiply
    171,724.50x = 252,621 × 252,621
  4. Step 4: Simplify right side
    171,724.50x = 63,817,369,641
  5. Step 5: Solve for x
    x = 63,817,369,641/171,724.50
  6. Step 6: Final answer
    x = 371,626.47

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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.