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Finding the Third Proportional to 150,616.50 and 326,028.50

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Solution

The third proportional to 150,616.50 and 326,028.50 is: 705,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,616.50 : 326,028.50 = 326,028.50 : x
  2. Step 2: Convert to fraction form
    150,616.50/326,028.50 = 326,028.50/x
  3. Step 3: Cross multiply
    150,616.50x = 326,028.50 × 326,028.50
  4. Step 4: Simplify right side
    150,616.50x = 106,294,582,812.25
  5. Step 5: Solve for x
    x = 106,294,582,812.25/150,616.50
  6. Step 6: Final answer
    x = 705,730.00

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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.