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Finding the Third Proportional to 182,265.19 and 272,668.78

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Solution

The third proportional to 182,265.19 and 272,668.78 is: 407,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,265.19 : 272,668.78 = 272,668.78 : x
  2. Step 2: Convert to fraction form
    182,265.19/272,668.78 = 272,668.78/x
  3. Step 3: Cross multiply
    182,265.19x = 272,668.78 × 272,668.78
  4. Step 4: Simplify right side
    182,265.19x = 74,348,264,268.36
  5. Step 5: Solve for x
    x = 74,348,264,268.36/182,265.19
  6. Step 6: Final answer
    x = 407,912.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.