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Finding the Third Proportional to 183,076.50 and 385,836

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Solution

The third proportional to 183,076.50 and 385,836 is: 813,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,076.50 : 385,836 = 385,836 : x
  2. Step 2: Convert to fraction form
    183,076.50/385,836 = 385,836/x
  3. Step 3: Cross multiply
    183,076.50x = 385,836 × 385,836
  4. Step 4: Simplify right side
    183,076.50x = 148,869,418,896
  5. Step 5: Solve for x
    x = 148,869,418,896/183,076.50
  6. Step 6: Final answer
    x = 813,154.17

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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.