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Finding the Third Proportional to 137,644.13 and 303,226.50

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Solution

The third proportional to 137,644.13 and 303,226.50 is: 668,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.13 : 303,226.50 = 303,226.50 : x
  2. Step 2: Convert to fraction form
    137,644.13/303,226.50 = 303,226.50/x
  3. Step 3: Cross multiply
    137,644.13x = 303,226.50 × 303,226.50
  4. Step 4: Simplify right side
    137,644.13x = 91,946,310,302.25
  5. Step 5: Solve for x
    x = 91,946,310,302.25/137,644.13
  6. Step 6: Final answer
    x = 668,000.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.