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Finding the Third Proportional to 165,000 and 356,064

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Solution

The third proportional to 165,000 and 356,064 is: 768,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,000 : 356,064 = 356,064 : x
  2. Step 2: Convert to fraction form
    165,000/356,064 = 356,064/x
  3. Step 3: Cross multiply
    165,000x = 356,064 × 356,064
  4. Step 4: Simplify right side
    165,000x = 126,781,572,096
  5. Step 5: Solve for x
    x = 126,781,572,096/165,000
  6. Step 6: Final answer
    x = 768,373.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.