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Finding the Third Proportional to 162,996 and 343,692

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Solution

The third proportional to 162,996 and 343,692 is: 724,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,996 : 343,692 = 343,692 : x
  2. Step 2: Convert to fraction form
    162,996/343,692 = 343,692/x
  3. Step 3: Cross multiply
    162,996x = 343,692 × 343,692
  4. Step 4: Simplify right side
    162,996x = 118,124,190,864
  5. Step 5: Solve for x
    x = 118,124,190,864/162,996
  6. Step 6: Final answer
    x = 724,706.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.