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Finding the Third Proportional to 167.53 and 266.53

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Solution

The third proportional to 167.53 and 266.53 is: 424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.53 : 266.53 = 266.53 : x
  2. Step 2: Convert to fraction form
    167.53/266.53 = 266.53/x
  3. Step 3: Cross multiply
    167.53x = 266.53 × 266.53
  4. Step 4: Simplify right side
    167.53x = 71,038.91
  5. Step 5: Solve for x
    x = 71,038.91/167.53
  6. Step 6: Final answer
    x = 424.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.