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Finding the Third Proportional to 181,412 and 272,810

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Solution

The third proportional to 181,412 and 272,810 is: 410,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,412 : 272,810 = 272,810 : x
  2. Step 2: Convert to fraction form
    181,412/272,810 = 272,810/x
  3. Step 3: Cross multiply
    181,412x = 272,810 × 272,810
  4. Step 4: Simplify right side
    181,412x = 74,425,296,100
  5. Step 5: Solve for x
    x = 74,425,296,100/181,412
  6. Step 6: Final answer
    x = 410,255.64

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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.