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Finding the Third Proportional to 202,160.81 and 480,729.94

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Solution

The third proportional to 202,160.81 and 480,729.94 is: 1,143,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,160.81 : 480,729.94 = 480,729.94 : x
  2. Step 2: Convert to fraction form
    202,160.81/480,729.94 = 480,729.94/x
  3. Step 3: Cross multiply
    202,160.81x = 480,729.94 × 480,729.94
  4. Step 4: Simplify right side
    202,160.81x = 231,101,272,808.75
  5. Step 5: Solve for x
    x = 231,101,272,808.75/202,160.81
  6. Step 6: Final answer
    x = 1,143,155.64

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.