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Finding the Third Proportional to 182,039 and 284,938

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Solution

The third proportional to 182,039 and 284,938 is: 446,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,039 : 284,938 = 284,938 : x
  2. Step 2: Convert to fraction form
    182,039/284,938 = 284,938/x
  3. Step 3: Cross multiply
    182,039x = 284,938 × 284,938
  4. Step 4: Simplify right side
    182,039x = 81,189,663,844
  5. Step 5: Solve for x
    x = 81,189,663,844/182,039
  6. Step 6: Final answer
    x = 446,001.48

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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.