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Finding the Third Proportional to 236,118 and 368,296.50

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Solution

The third proportional to 236,118 and 368,296.50 is: 574,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,118 : 368,296.50 = 368,296.50 : x
  2. Step 2: Convert to fraction form
    236,118/368,296.50 = 368,296.50/x
  3. Step 3: Cross multiply
    236,118x = 368,296.50 × 368,296.50
  4. Step 4: Simplify right side
    236,118x = 135,642,311,912.25
  5. Step 5: Solve for x
    x = 135,642,311,912.25/236,118
  6. Step 6: Final answer
    x = 574,468.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.