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Finding the Third Proportional to 194,808.80 and 311,204.53

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Solution

The third proportional to 194,808.80 and 311,204.53 is: 497,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808.80 : 311,204.53 = 311,204.53 : x
  2. Step 2: Convert to fraction form
    194,808.80/311,204.53 = 311,204.53/x
  3. Step 3: Cross multiply
    194,808.80x = 311,204.53 × 311,204.53
  4. Step 4: Simplify right side
    194,808.80x = 96,848,260,270.53
  5. Step 5: Solve for x
    x = 96,848,260,270.53/194,808.80
  6. Step 6: Final answer
    x = 497,145.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.