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Finding the Third Proportional to 238,510.50 and 334,268

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Solution

The third proportional to 238,510.50 and 334,268 is: 468,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,510.50 : 334,268 = 334,268 : x
  2. Step 2: Convert to fraction form
    238,510.50/334,268 = 334,268/x
  3. Step 3: Cross multiply
    238,510.50x = 334,268 × 334,268
  4. Step 4: Simplify right side
    238,510.50x = 111,735,095,824
  5. Step 5: Solve for x
    x = 111,735,095,824/238,510.50
  6. Step 6: Final answer
    x = 468,470.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.