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Finding the Third Proportional to 203,506 and 311,307

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Solution

The third proportional to 203,506 and 311,307 is: 476,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506 : 311,307 = 311,307 : x
  2. Step 2: Convert to fraction form
    203,506/311,307 = 311,307/x
  3. Step 3: Cross multiply
    203,506x = 311,307 × 311,307
  4. Step 4: Simplify right side
    203,506x = 96,912,048,249
  5. Step 5: Solve for x
    x = 96,912,048,249/203,506
  6. Step 6: Final answer
    x = 476,212.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.