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Finding the Third Proportional to 182,050 and 284,965

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Solution

The third proportional to 182,050 and 284,965 is: 446,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,050 : 284,965 = 284,965 : x
  2. Step 2: Convert to fraction form
    182,050/284,965 = 284,965/x
  3. Step 3: Cross multiply
    182,050x = 284,965 × 284,965
  4. Step 4: Simplify right side
    182,050x = 81,205,051,225
  5. Step 5: Solve for x
    x = 81,205,051,225/182,050
  6. Step 6: Final answer
    x = 446,059.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.