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Finding the Third Proportional to 108,263.25 and 260,816.63

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Solution

The third proportional to 108,263.25 and 260,816.63 is: 628,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,263.25 : 260,816.63 = 260,816.63 : x
  2. Step 2: Convert to fraction form
    108,263.25/260,816.63 = 260,816.63/x
  3. Step 3: Cross multiply
    108,263.25x = 260,816.63 × 260,816.63
  4. Step 4: Simplify right side
    108,263.25x = 68,025,311,876.39
  5. Step 5: Solve for x
    x = 68,025,311,876.39/108,263.25
  6. Step 6: Final answer
    x = 628,332.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.