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Finding the Third Proportional to 176.06 and 266.34

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Solution

The third proportional to 176.06 and 266.34 is: 402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 266.34 = 266.34 : x
  2. Step 2: Convert to fraction form
    176.06/266.34 = 266.34/x
  3. Step 3: Cross multiply
    176.06x = 266.34 × 266.34
  4. Step 4: Simplify right side
    176.06x = 70,938.99
  5. Step 5: Solve for x
    x = 70,938.99/176.06
  6. Step 6: Final answer
    x = 402.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.