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Finding the Third Proportional to 178.03 and 261.28

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Solution

The third proportional to 178.03 and 261.28 is: 383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 261.28 = 261.28 : x
  2. Step 2: Convert to fraction form
    178.03/261.28 = 261.28/x
  3. Step 3: Cross multiply
    178.03x = 261.28 × 261.28
  4. Step 4: Simplify right side
    178.03x = 68,267.89
  5. Step 5: Solve for x
    x = 68,267.89/178.03
  6. Step 6: Final answer
    x = 383.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.