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Finding the Third Proportional to 155,382 and 336,180

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Solution

The third proportional to 155,382 and 336,180 is: 727,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,382 : 336,180 = 336,180 : x
  2. Step 2: Convert to fraction form
    155,382/336,180 = 336,180/x
  3. Step 3: Cross multiply
    155,382x = 336,180 × 336,180
  4. Step 4: Simplify right side
    155,382x = 113,016,992,400
  5. Step 5: Solve for x
    x = 113,016,992,400/155,382
  6. Step 6: Final answer
    x = 727,349.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.