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Finding the Third Proportional to 270.38 and 567.94

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Solution

The third proportional to 270.38 and 567.94 is: 1,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.38 : 567.94 = 567.94 : x
  2. Step 2: Convert to fraction form
    270.38/567.94 = 567.94/x
  3. Step 3: Cross multiply
    270.38x = 567.94 × 567.94
  4. Step 4: Simplify right side
    270.38x = 322,553.00
  5. Step 5: Solve for x
    x = 322,553.00/270.38
  6. Step 6: Final answer
    x = 1,192.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.