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Finding the Third Proportional to 156,693 and 353,962

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Solution

The third proportional to 156,693 and 353,962 is: 799,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,693 : 353,962 = 353,962 : x
  2. Step 2: Convert to fraction form
    156,693/353,962 = 353,962/x
  3. Step 3: Cross multiply
    156,693x = 353,962 × 353,962
  4. Step 4: Simplify right side
    156,693x = 125,289,097,444
  5. Step 5: Solve for x
    x = 125,289,097,444/156,693
  6. Step 6: Final answer
    x = 799,583.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.