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Finding the Third Proportional to 128,045.81 and 280,483.38

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Solution

The third proportional to 128,045.81 and 280,483.38 is: 614,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,045.81 : 280,483.38 = 280,483.38 : x
  2. Step 2: Convert to fraction form
    128,045.81/280,483.38 = 280,483.38/x
  3. Step 3: Cross multiply
    128,045.81x = 280,483.38 × 280,483.38
  4. Step 4: Simplify right side
    128,045.81x = 78,670,928,033.94
  5. Step 5: Solve for x
    x = 78,670,928,033.94/128,045.81
  6. Step 6: Final answer
    x = 614,396.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.