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Finding the Third Proportional to 138,030.75 and 303,196.50

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Solution

The third proportional to 138,030.75 and 303,196.50 is: 665,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,030.75 : 303,196.50 = 303,196.50 : x
  2. Step 2: Convert to fraction form
    138,030.75/303,196.50 = 303,196.50/x
  3. Step 3: Cross multiply
    138,030.75x = 303,196.50 × 303,196.50
  4. Step 4: Simplify right side
    138,030.75x = 91,928,117,612.25
  5. Step 5: Solve for x
    x = 91,928,117,612.25/138,030.75
  6. Step 6: Final answer
    x = 665,997.38

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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.