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Finding the Third Proportional to 347.77 and 461.67

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Solution

The third proportional to 347.77 and 461.67 is: 612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.77 : 461.67 = 461.67 : x
  2. Step 2: Convert to fraction form
    347.77/461.67 = 461.67/x
  3. Step 3: Cross multiply
    347.77x = 461.67 × 461.67
  4. Step 4: Simplify right side
    347.77x = 213,140.92
  5. Step 5: Solve for x
    x = 213,140.92/347.77
  6. Step 6: Final answer
    x = 612.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.