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Finding the Third Proportional to 223,112.25 and 339,897.38

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Solution

The third proportional to 223,112.25 and 339,897.38 is: 517,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,112.25 : 339,897.38 = 339,897.38 : x
  2. Step 2: Convert to fraction form
    223,112.25/339,897.38 = 339,897.38/x
  3. Step 3: Cross multiply
    223,112.25x = 339,897.38 × 339,897.38
  4. Step 4: Simplify right side
    223,112.25x = 115,530,225,531.89
  5. Step 5: Solve for x
    x = 115,530,225,531.89/223,112.25
  6. Step 6: Final answer
    x = 517,812.11

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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.