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Finding the Third Proportional to 347.06 and 482.34

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Solution

The third proportional to 347.06 and 482.34 is: 670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.06 : 482.34 = 482.34 : x
  2. Step 2: Convert to fraction form
    347.06/482.34 = 482.34/x
  3. Step 3: Cross multiply
    347.06x = 482.34 × 482.34
  4. Step 4: Simplify right side
    347.06x = 232,655.49
  5. Step 5: Solve for x
    x = 232,655.49/347.06
  6. Step 6: Final answer
    x = 670.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.