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Finding the Third Proportional to 119,278.69 and 257,239.41

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Solution

The third proportional to 119,278.69 and 257,239.41 is: 554,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,278.69 : 257,239.41 = 257,239.41 : x
  2. Step 2: Convert to fraction form
    119,278.69/257,239.41 = 257,239.41/x
  3. Step 3: Cross multiply
    119,278.69x = 257,239.41 × 257,239.41
  4. Step 4: Simplify right side
    119,278.69x = 66,172,112,127.85
  5. Step 5: Solve for x
    x = 66,172,112,127.85/119,278.69
  6. Step 6: Final answer
    x = 554,768.95

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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.