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Finding the Third Proportional to 155,217 and 340,914

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Solution

The third proportional to 155,217 and 340,914 is: 748,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,217 : 340,914 = 340,914 : x
  2. Step 2: Convert to fraction form
    155,217/340,914 = 340,914/x
  3. Step 3: Cross multiply
    155,217x = 340,914 × 340,914
  4. Step 4: Simplify right side
    155,217x = 116,222,355,396
  5. Step 5: Solve for x
    x = 116,222,355,396/155,217
  6. Step 6: Final answer
    x = 748,773.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.