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Finding the Third Proportional to 183,228.94 and 280,292.63

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Solution

The third proportional to 183,228.94 and 280,292.63 is: 428,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,228.94 : 280,292.63 = 280,292.63 : x
  2. Step 2: Convert to fraction form
    183,228.94/280,292.63 = 280,292.63/x
  3. Step 3: Cross multiply
    183,228.94x = 280,292.63 × 280,292.63
  4. Step 4: Simplify right side
    183,228.94x = 78,563,955,629.39
  5. Step 5: Solve for x
    x = 78,563,955,629.39/183,228.94
  6. Step 6: Final answer
    x = 428,774.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.