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Finding the Third Proportional to 189,650.25 and 403,436.25

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Solution

The third proportional to 189,650.25 and 403,436.25 is: 858,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,650.25 : 403,436.25 = 403,436.25 : x
  2. Step 2: Convert to fraction form
    189,650.25/403,436.25 = 403,436.25/x
  3. Step 3: Cross multiply
    189,650.25x = 403,436.25 × 403,436.25
  4. Step 4: Simplify right side
    189,650.25x = 162,760,807,814.06
  5. Step 5: Solve for x
    x = 162,760,807,814.06/189,650.25
  6. Step 6: Final answer
    x = 858,215.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.