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Finding the Third Proportional to 182,203.50 and 397,566

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Solution

The third proportional to 182,203.50 and 397,566 is: 867,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,203.50 : 397,566 = 397,566 : x
  2. Step 2: Convert to fraction form
    182,203.50/397,566 = 397,566/x
  3. Step 3: Cross multiply
    182,203.50x = 397,566 × 397,566
  4. Step 4: Simplify right side
    182,203.50x = 158,058,724,356
  5. Step 5: Solve for x
    x = 158,058,724,356/182,203.50
  6. Step 6: Final answer
    x = 867,484.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.