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Finding the Third Proportional to 155,782 and 338,900

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Solution

The third proportional to 155,782 and 338,900 is: 737,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,782 : 338,900 = 338,900 : x
  2. Step 2: Convert to fraction form
    155,782/338,900 = 338,900/x
  3. Step 3: Cross multiply
    155,782x = 338,900 × 338,900
  4. Step 4: Simplify right side
    155,782x = 114,853,210,000
  5. Step 5: Solve for x
    x = 114,853,210,000/155,782
  6. Step 6: Final answer
    x = 737,268.81

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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.