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Finding the Third Proportional to 201,499.50 and 299,434.50

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Solution

The third proportional to 201,499.50 and 299,434.50 is: 444,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,499.50 : 299,434.50 = 299,434.50 : x
  2. Step 2: Convert to fraction form
    201,499.50/299,434.50 = 299,434.50/x
  3. Step 3: Cross multiply
    201,499.50x = 299,434.50 × 299,434.50
  4. Step 4: Simplify right side
    201,499.50x = 89,661,019,790.25
  5. Step 5: Solve for x
    x = 89,661,019,790.25/201,499.50
  6. Step 6: Final answer
    x = 444,968.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.