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Finding the Third Proportional to 155,804 and 338,905

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Solution

The third proportional to 155,804 and 338,905 is: 737,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,804 : 338,905 = 338,905 : x
  2. Step 2: Convert to fraction form
    155,804/338,905 = 338,905/x
  3. Step 3: Cross multiply
    155,804x = 338,905 × 338,905
  4. Step 4: Simplify right side
    155,804x = 114,856,599,025
  5. Step 5: Solve for x
    x = 114,856,599,025/155,804
  6. Step 6: Final answer
    x = 737,186.46

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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.