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Finding the Third Proportional to 201,114.75 and 320,124.75

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Solution

The third proportional to 201,114.75 and 320,124.75 is: 509,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,114.75 : 320,124.75 = 320,124.75 : x
  2. Step 2: Convert to fraction form
    201,114.75/320,124.75 = 320,124.75/x
  3. Step 3: Cross multiply
    201,114.75x = 320,124.75 × 320,124.75
  4. Step 4: Simplify right side
    201,114.75x = 102,479,855,562.56
  5. Step 5: Solve for x
    x = 102,479,855,562.56/201,114.75
  6. Step 6: Final answer
    x = 509,559.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.