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Finding the Third Proportional to 119,296.97 and 257,274.14

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Solution

The third proportional to 119,296.97 and 257,274.14 is: 554,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,296.97 : 257,274.14 = 257,274.14 : x
  2. Step 2: Convert to fraction form
    119,296.97/257,274.14 = 257,274.14/x
  3. Step 3: Cross multiply
    119,296.97x = 257,274.14 × 257,274.14
  4. Step 4: Simplify right side
    119,296.97x = 66,189,983,434.33
  5. Step 5: Solve for x
    x = 66,189,983,434.33/119,296.97
  6. Step 6: Final answer
    x = 554,833.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.