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Finding the Third Proportional to 77,367.66 and 169,497.56

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Solution

The third proportional to 77,367.66 and 169,497.56 is: 371,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,367.66 : 169,497.56 = 169,497.56 : x
  2. Step 2: Convert to fraction form
    77,367.66/169,497.56 = 169,497.56/x
  3. Step 3: Cross multiply
    77,367.66x = 169,497.56 × 169,497.56
  4. Step 4: Simplify right side
    77,367.66x = 28,729,423,693.44
  5. Step 5: Solve for x
    x = 28,729,423,693.44/77,367.66
  6. Step 6: Final answer
    x = 371,336.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.