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Finding the Third Proportional to 217,437.75 and 345,920.63

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Solution

The third proportional to 217,437.75 and 345,920.63 is: 550,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,437.75 : 345,920.63 = 345,920.63 : x
  2. Step 2: Convert to fraction form
    217,437.75/345,920.63 = 345,920.63/x
  3. Step 3: Cross multiply
    217,437.75x = 345,920.63 × 345,920.63
  4. Step 4: Simplify right side
    217,437.75x = 119,661,078,800.39
  5. Step 5: Solve for x
    x = 119,661,078,800.39/217,437.75
  6. Step 6: Final answer
    x = 550,323.39

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.