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Finding the Third Proportional to 201,638 and 304,078

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Solution

The third proportional to 201,638 and 304,078 is: 458,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638 : 304,078 = 304,078 : x
  2. Step 2: Convert to fraction form
    201,638/304,078 = 304,078/x
  3. Step 3: Cross multiply
    201,638x = 304,078 × 304,078
  4. Step 4: Simplify right side
    201,638x = 92,463,430,084
  5. Step 5: Solve for x
    x = 92,463,430,084/201,638
  6. Step 6: Final answer
    x = 458,561.53

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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.