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Finding the Third Proportional to 156,955 and 333,512

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Solution

The third proportional to 156,955 and 333,512 is: 708,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,955 : 333,512 = 333,512 : x
  2. Step 2: Convert to fraction form
    156,955/333,512 = 333,512/x
  3. Step 3: Cross multiply
    156,955x = 333,512 × 333,512
  4. Step 4: Simplify right side
    156,955x = 111,230,254,144
  5. Step 5: Solve for x
    x = 111,230,254,144/156,955
  6. Step 6: Final answer
    x = 708,676.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.