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Finding the Third Proportional to 182,026.50 and 284,923

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Solution

The third proportional to 182,026.50 and 284,923 is: 445,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,026.50 : 284,923 = 284,923 : x
  2. Step 2: Convert to fraction form
    182,026.50/284,923 = 284,923/x
  3. Step 3: Cross multiply
    182,026.50x = 284,923 × 284,923
  4. Step 4: Simplify right side
    182,026.50x = 81,181,115,929
  5. Step 5: Solve for x
    x = 81,181,115,929/182,026.50
  6. Step 6: Final answer
    x = 445,985.15

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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.