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Finding the Third Proportional to 266.34 and 373.36

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Solution

The third proportional to 266.34 and 373.36 is: 523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 373.36 = 373.36 : x
  2. Step 2: Convert to fraction form
    266.34/373.36 = 373.36/x
  3. Step 3: Cross multiply
    266.34x = 373.36 × 373.36
  4. Step 4: Simplify right side
    266.34x = 139,397.22
  5. Step 5: Solve for x
    x = 139,397.22/266.34
  6. Step 6: Final answer
    x = 523.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.