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Finding the Third Proportional to 156,564 and 341,064

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Solution

The third proportional to 156,564 and 341,064 is: 742,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,564 : 341,064 = 341,064 : x
  2. Step 2: Convert to fraction form
    156,564/341,064 = 341,064/x
  3. Step 3: Cross multiply
    156,564x = 341,064 × 341,064
  4. Step 4: Simplify right side
    156,564x = 116,324,652,096
  5. Step 5: Solve for x
    x = 116,324,652,096/156,564
  6. Step 6: Final answer
    x = 742,984.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.