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Finding the Third Proportional to 111,780 and 236,074.50

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Solution

The third proportional to 111,780 and 236,074.50 is: 498,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,780 : 236,074.50 = 236,074.50 : x
  2. Step 2: Convert to fraction form
    111,780/236,074.50 = 236,074.50/x
  3. Step 3: Cross multiply
    111,780x = 236,074.50 × 236,074.50
  4. Step 4: Simplify right side
    111,780x = 55,731,169,550.25
  5. Step 5: Solve for x
    x = 55,731,169,550.25/111,780
  6. Step 6: Final answer
    x = 498,579.08

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.