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Finding the Third Proportional to 203,580.84 and 299,451.94

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Solution

The third proportional to 203,580.84 and 299,451.94 is: 440,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,580.84 : 299,451.94 = 299,451.94 : x
  2. Step 2: Convert to fraction form
    203,580.84/299,451.94 = 299,451.94/x
  3. Step 3: Cross multiply
    203,580.84x = 299,451.94 × 299,451.94
  4. Step 4: Simplify right side
    203,580.84x = 89,671,462,872.50
  5. Step 5: Solve for x
    x = 89,671,462,872.50/203,580.84
  6. Step 6: Final answer
    x = 440,471.02

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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.