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Finding the Third Proportional to 152,093.25 and 352,084.50

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Solution

The third proportional to 152,093.25 and 352,084.50 is: 815,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,093.25 : 352,084.50 = 352,084.50 : x
  2. Step 2: Convert to fraction form
    152,093.25/352,084.50 = 352,084.50/x
  3. Step 3: Cross multiply
    152,093.25x = 352,084.50 × 352,084.50
  4. Step 4: Simplify right side
    152,093.25x = 123,963,495,140.25
  5. Step 5: Solve for x
    x = 123,963,495,140.25/152,093.25
  6. Step 6: Final answer
    x = 815,049.29

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.