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Finding the Third Proportional to 156,796 and 343,064

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Solution

The third proportional to 156,796 and 343,064 is: 750,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,796 : 343,064 = 343,064 : x
  2. Step 2: Convert to fraction form
    156,796/343,064 = 343,064/x
  3. Step 3: Cross multiply
    156,796x = 343,064 × 343,064
  4. Step 4: Simplify right side
    156,796x = 117,692,908,096
  5. Step 5: Solve for x
    x = 117,692,908,096/156,796
  6. Step 6: Final answer
    x = 750,611.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.