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Finding the Third Proportional to 201,271.50 and 318,309.75

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Solution

The third proportional to 201,271.50 and 318,309.75 is: 503,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271.50 : 318,309.75 = 318,309.75 : x
  2. Step 2: Convert to fraction form
    201,271.50/318,309.75 = 318,309.75/x
  3. Step 3: Cross multiply
    201,271.50x = 318,309.75 × 318,309.75
  4. Step 4: Simplify right side
    201,271.50x = 101,321,096,945.06
  5. Step 5: Solve for x
    x = 101,321,096,945.06/201,271.50
  6. Step 6: Final answer
    x = 503,405.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.