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Finding the Third Proportional to 182,201 and 399,502

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Solution

The third proportional to 182,201 and 399,502 is: 875,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,201 : 399,502 = 399,502 : x
  2. Step 2: Convert to fraction form
    182,201/399,502 = 399,502/x
  3. Step 3: Cross multiply
    182,201x = 399,502 × 399,502
  4. Step 4: Simplify right side
    182,201x = 159,601,848,004
  5. Step 5: Solve for x
    x = 159,601,848,004/182,201
  6. Step 6: Final answer
    x = 875,965.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.