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Finding the Third Proportional to 155,429 and 338,962

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Solution

The third proportional to 155,429 and 338,962 is: 739,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,429 : 338,962 = 338,962 : x
  2. Step 2: Convert to fraction form
    155,429/338,962 = 338,962/x
  3. Step 3: Cross multiply
    155,429x = 338,962 × 338,962
  4. Step 4: Simplify right side
    155,429x = 114,895,237,444
  5. Step 5: Solve for x
    x = 114,895,237,444/155,429
  6. Step 6: Final answer
    x = 739,213.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.