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Finding the Third Proportional to 201,022.88 and 310,980.94

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Solution

The third proportional to 201,022.88 and 310,980.94 is: 481,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,022.88 : 310,980.94 = 310,980.94 : x
  2. Step 2: Convert to fraction form
    201,022.88/310,980.94 = 310,980.94/x
  3. Step 3: Cross multiply
    201,022.88x = 310,980.94 × 310,980.94
  4. Step 4: Simplify right side
    201,022.88x = 96,709,143,488.38
  5. Step 5: Solve for x
    x = 96,709,143,488.38/201,022.88
  6. Step 6: Final answer
    x = 481,085.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.