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Finding the Third Proportional to 208,182 and 311,703

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Solution

The third proportional to 208,182 and 311,703 is: 466,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,182 : 311,703 = 311,703 : x
  2. Step 2: Convert to fraction form
    208,182/311,703 = 311,703/x
  3. Step 3: Cross multiply
    208,182x = 311,703 × 311,703
  4. Step 4: Simplify right side
    208,182x = 97,158,760,209
  5. Step 5: Solve for x
    x = 97,158,760,209/208,182
  6. Step 6: Final answer
    x = 466,701.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.