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Finding the Third Proportional to 201,611 and 304,037

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Solution

The third proportional to 201,611 and 304,037 is: 458,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611 : 304,037 = 304,037 : x
  2. Step 2: Convert to fraction form
    201,611/304,037 = 304,037/x
  3. Step 3: Cross multiply
    201,611x = 304,037 × 304,037
  4. Step 4: Simplify right side
    201,611x = 92,438,497,369
  5. Step 5: Solve for x
    x = 92,438,497,369/201,611
  6. Step 6: Final answer
    x = 458,499.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.