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Finding the Third Proportional to 182,191 and 425,531

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Solution

The third proportional to 182,191 and 425,531 is: 993,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,191 : 425,531 = 425,531 : x
  2. Step 2: Convert to fraction form
    182,191/425,531 = 425,531/x
  3. Step 3: Cross multiply
    182,191x = 425,531 × 425,531
  4. Step 4: Simplify right side
    182,191x = 181,076,631,961
  5. Step 5: Solve for x
    x = 181,076,631,961/182,191
  6. Step 6: Final answer
    x = 993,883.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.