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Finding the Third Proportional to 150,436.50 and 326,808

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Solution

The third proportional to 150,436.50 and 326,808 is: 709,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,436.50 : 326,808 = 326,808 : x
  2. Step 2: Convert to fraction form
    150,436.50/326,808 = 326,808/x
  3. Step 3: Cross multiply
    150,436.50x = 326,808 × 326,808
  4. Step 4: Simplify right side
    150,436.50x = 106,803,468,864
  5. Step 5: Solve for x
    x = 106,803,468,864/150,436.50
  6. Step 6: Final answer
    x = 709,957.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.