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Finding the Third Proportional to 189,650.25 and 403,437.75

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Solution

The third proportional to 189,650.25 and 403,437.75 is: 858,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,650.25 : 403,437.75 = 403,437.75 : x
  2. Step 2: Convert to fraction form
    189,650.25/403,437.75 = 403,437.75/x
  3. Step 3: Cross multiply
    189,650.25x = 403,437.75 × 403,437.75
  4. Step 4: Simplify right side
    189,650.25x = 162,762,018,125.06
  5. Step 5: Solve for x
    x = 162,762,018,125.06/189,650.25
  6. Step 6: Final answer
    x = 858,222.01

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