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Finding the Third Proportional to 155,368.13 and 338,414.63

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Solution

The third proportional to 155,368.13 and 338,414.63 is: 737,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,368.13 : 338,414.63 = 338,414.63 : x
  2. Step 2: Convert to fraction form
    155,368.13/338,414.63 = 338,414.63/x
  3. Step 3: Cross multiply
    155,368.13x = 338,414.63 × 338,414.63
  4. Step 4: Simplify right side
    155,368.13x = 114,524,458,413.89
  5. Step 5: Solve for x
    x = 114,524,458,413.89/155,368.13
  6. Step 6: Final answer
    x = 737,116.82

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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.