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Finding the Third Proportional to 181,543.50 and 279,968.63

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Solution

The third proportional to 181,543.50 and 279,968.63 is: 431,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,543.50 : 279,968.63 = 279,968.63 : x
  2. Step 2: Convert to fraction form
    181,543.50/279,968.63 = 279,968.63/x
  3. Step 3: Cross multiply
    181,543.50x = 279,968.63 × 279,968.63
  4. Step 4: Simplify right side
    181,543.50x = 78,382,430,984.39
  5. Step 5: Solve for x
    x = 78,382,430,984.39/181,543.50
  6. Step 6: Final answer
    x = 431,755.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.