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Finding the Third Proportional to 156,959 and 333,520

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Solution

The third proportional to 156,959 and 333,520 is: 708,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959 : 333,520 = 333,520 : x
  2. Step 2: Convert to fraction form
    156,959/333,520 = 333,520/x
  3. Step 3: Cross multiply
    156,959x = 333,520 × 333,520
  4. Step 4: Simplify right side
    156,959x = 111,235,590,400
  5. Step 5: Solve for x
    x = 111,235,590,400/156,959
  6. Step 6: Final answer
    x = 708,692.02

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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.