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Finding the Third Proportional to 150,133.50 and 308,731.50

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Solution

The third proportional to 150,133.50 and 308,731.50 is: 634,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,133.50 : 308,731.50 = 308,731.50 : x
  2. Step 2: Convert to fraction form
    150,133.50/308,731.50 = 308,731.50/x
  3. Step 3: Cross multiply
    150,133.50x = 308,731.50 × 308,731.50
  4. Step 4: Simplify right side
    150,133.50x = 95,315,139,092.25
  5. Step 5: Solve for x
    x = 95,315,139,092.25/150,133.50
  6. Step 6: Final answer
    x = 634,869.23

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.