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Finding the Third Proportional to 236,736 and 318,957.75

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Solution

The third proportional to 236,736 and 318,957.75 is: 429,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,736 : 318,957.75 = 318,957.75 : x
  2. Step 2: Convert to fraction form
    236,736/318,957.75 = 318,957.75/x
  3. Step 3: Cross multiply
    236,736x = 318,957.75 × 318,957.75
  4. Step 4: Simplify right side
    236,736x = 101,734,046,285.06
  5. Step 5: Solve for x
    x = 101,734,046,285.06/236,736
  6. Step 6: Final answer
    x = 429,736.27

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.