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Finding the Third Proportional to 183,081 and 385,846.50

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Solution

The third proportional to 183,081 and 385,846.50 is: 813,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,081 : 385,846.50 = 385,846.50 : x
  2. Step 2: Convert to fraction form
    183,081/385,846.50 = 385,846.50/x
  3. Step 3: Cross multiply
    183,081x = 385,846.50 × 385,846.50
  4. Step 4: Simplify right side
    183,081x = 148,877,521,562.25
  5. Step 5: Solve for x
    x = 148,877,521,562.25/183,081
  6. Step 6: Final answer
    x = 813,178.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.