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Finding the Third Proportional to 223,109.44 and 339,894.56

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Solution

The third proportional to 223,109.44 and 339,894.56 is: 517,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.44 : 339,894.56 = 339,894.56 : x
  2. Step 2: Convert to fraction form
    223,109.44/339,894.56 = 339,894.56/x
  3. Step 3: Cross multiply
    223,109.44x = 339,894.56 × 339,894.56
  4. Step 4: Simplify right side
    223,109.44x = 115,528,313,617.07
  5. Step 5: Solve for x
    x = 115,528,313,617.07/223,109.44
  6. Step 6: Final answer
    x = 517,810.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.