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Finding the Third Proportional to 117,396.84 and 253,552.78

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Solution

The third proportional to 117,396.84 and 253,552.78 is: 547,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,396.84 : 253,552.78 = 253,552.78 : x
  2. Step 2: Convert to fraction form
    117,396.84/253,552.78 = 253,552.78/x
  3. Step 3: Cross multiply
    117,396.84x = 253,552.78 × 253,552.78
  4. Step 4: Simplify right side
    117,396.84x = 64,289,012,879.61
  5. Step 5: Solve for x
    x = 64,289,012,879.61/117,396.84
  6. Step 6: Final answer
    x = 547,621.31

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Why These Related Problems?

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