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Finding the Third Proportional to 155,229 and 339,516.50

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Solution

The third proportional to 155,229 and 339,516.50 is: 742,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,229 : 339,516.50 = 339,516.50 : x
  2. Step 2: Convert to fraction form
    155,229/339,516.50 = 339,516.50/x
  3. Step 3: Cross multiply
    155,229x = 339,516.50 × 339,516.50
  4. Step 4: Simplify right side
    155,229x = 115,271,453,772.25
  5. Step 5: Solve for x
    x = 115,271,453,772.25/155,229
  6. Step 6: Final answer
    x = 742,589.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.