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Finding the Third Proportional to 271.83 and 592.03

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Solution

The third proportional to 271.83 and 592.03 is: 1,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.83 : 592.03 = 592.03 : x
  2. Step 2: Convert to fraction form
    271.83/592.03 = 592.03/x
  3. Step 3: Cross multiply
    271.83x = 592.03 × 592.03
  4. Step 4: Simplify right side
    271.83x = 350,501.00
  5. Step 5: Solve for x
    x = 350,501.00/271.83
  6. Step 6: Final answer
    x = 1,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.