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Finding the Third Proportional to 162.47 and 344.94

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Solution

The third proportional to 162.47 and 344.94 is: 732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.47 : 344.94 = 344.94 : x
  2. Step 2: Convert to fraction form
    162.47/344.94 = 344.94/x
  3. Step 3: Cross multiply
    162.47x = 344.94 × 344.94
  4. Step 4: Simplify right side
    162.47x = 118,981.88
  5. Step 5: Solve for x
    x = 118,981.88/162.47
  6. Step 6: Final answer
    x = 732.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.