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Finding the Third Proportional to 156,852 and 333,933

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Solution

The third proportional to 156,852 and 333,933 is: 710,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,852 : 333,933 = 333,933 : x
  2. Step 2: Convert to fraction form
    156,852/333,933 = 333,933/x
  3. Step 3: Cross multiply
    156,852x = 333,933 × 333,933
  4. Step 4: Simplify right side
    156,852x = 111,511,248,489
  5. Step 5: Solve for x
    x = 111,511,248,489/156,852
  6. Step 6: Final answer
    x = 710,932.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.