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Finding the Third Proportional to 121,563.28 and 178,400.81

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Solution

The third proportional to 121,563.28 and 178,400.81 is: 261,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,563.28 : 178,400.81 = 178,400.81 : x
  2. Step 2: Convert to fraction form
    121,563.28/178,400.81 = 178,400.81/x
  3. Step 3: Cross multiply
    121,563.28x = 178,400.81 × 178,400.81
  4. Step 4: Simplify right side
    121,563.28x = 31,826,849,900.66
  5. Step 5: Solve for x
    x = 31,826,849,900.66/121,563.28
  6. Step 6: Final answer
    x = 261,813.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.