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Finding the Third Proportional to 182,514.94 and 272,256.19

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Solution

The third proportional to 182,514.94 and 272,256.19 is: 406,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,514.94 : 272,256.19 = 272,256.19 : x
  2. Step 2: Convert to fraction form
    182,514.94/272,256.19 = 272,256.19/x
  3. Step 3: Cross multiply
    182,514.94x = 272,256.19 × 272,256.19
  4. Step 4: Simplify right side
    182,514.94x = 74,123,431,632.04
  5. Step 5: Solve for x
    x = 74,123,431,632.04/182,514.94
  6. Step 6: Final answer
    x = 406,122.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.