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Finding the Third Proportional to 271,757 and 369,038.88

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Solution

The third proportional to 271,757 and 369,038.88 is: 501,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,757 : 369,038.88 = 369,038.88 : x
  2. Step 2: Convert to fraction form
    271,757/369,038.88 = 369,038.88/x
  3. Step 3: Cross multiply
    271,757x = 369,038.88 × 369,038.88
  4. Step 4: Simplify right side
    271,757x = 136,189,691,261.27
  5. Step 5: Solve for x
    x = 136,189,691,261.27/271,757
  6. Step 6: Final answer
    x = 501,145.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.