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Finding the Third Proportional to 271,053 and 362,232

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Solution

The third proportional to 271,053 and 362,232 is: 484,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,053 : 362,232 = 362,232 : x
  2. Step 2: Convert to fraction form
    271,053/362,232 = 362,232/x
  3. Step 3: Cross multiply
    271,053x = 362,232 × 362,232
  4. Step 4: Simplify right side
    271,053x = 131,212,021,824
  5. Step 5: Solve for x
    x = 131,212,021,824/271,053
  6. Step 6: Final answer
    x = 484,082.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.