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Finding the Third Proportional to 117,826.05 and 254,328.45

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Solution

The third proportional to 117,826.05 and 254,328.45 is: 548,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,826.05 : 254,328.45 = 254,328.45 : x
  2. Step 2: Convert to fraction form
    117,826.05/254,328.45 = 254,328.45/x
  3. Step 3: Cross multiply
    117,826.05x = 254,328.45 × 254,328.45
  4. Step 4: Simplify right side
    117,826.05x = 64,682,961,075.49
  5. Step 5: Solve for x
    x = 64,682,961,075.49/117,826.05
  6. Step 6: Final answer
    x = 548,969.96

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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.