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Finding the Third Proportional to 189,564 and 284,826

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Solution

The third proportional to 189,564 and 284,826 is: 427,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,564 : 284,826 = 284,826 : x
  2. Step 2: Convert to fraction form
    189,564/284,826 = 284,826/x
  3. Step 3: Cross multiply
    189,564x = 284,826 × 284,826
  4. Step 4: Simplify right side
    189,564x = 81,125,850,276
  5. Step 5: Solve for x
    x = 81,125,850,276/189,564
  6. Step 6: Final answer
    x = 427,960.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.