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Finding the Third Proportional to 236,769 and 362,200.50

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Solution

The third proportional to 236,769 and 362,200.50 is: 554,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,769 : 362,200.50 = 362,200.50 : x
  2. Step 2: Convert to fraction form
    236,769/362,200.50 = 362,200.50/x
  3. Step 3: Cross multiply
    236,769x = 362,200.50 × 362,200.50
  4. Step 4: Simplify right side
    236,769x = 131,189,202,200.25
  5. Step 5: Solve for x
    x = 131,189,202,200.25/236,769
  6. Step 6: Final answer
    x = 554,080.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.