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Finding the Third Proportional to 138,985.50 and 303,063

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Solution

The third proportional to 138,985.50 and 303,063 is: 660,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,985.50 : 303,063 = 303,063 : x
  2. Step 2: Convert to fraction form
    138,985.50/303,063 = 303,063/x
  3. Step 3: Cross multiply
    138,985.50x = 303,063 × 303,063
  4. Step 4: Simplify right side
    138,985.50x = 91,847,181,969
  5. Step 5: Solve for x
    x = 91,847,181,969/138,985.50
  6. Step 6: Final answer
    x = 660,840.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.