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Finding the Third Proportional to 156,013 and 335,365

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Solution

The third proportional to 156,013 and 335,365 is: 720,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,013 : 335,365 = 335,365 : x
  2. Step 2: Convert to fraction form
    156,013/335,365 = 335,365/x
  3. Step 3: Cross multiply
    156,013x = 335,365 × 335,365
  4. Step 4: Simplify right side
    156,013x = 112,469,683,225
  5. Step 5: Solve for x
    x = 112,469,683,225/156,013
  6. Step 6: Final answer
    x = 720,899.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.