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Finding the Third Proportional to 156,896 and 340,000

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Solution

The third proportional to 156,896 and 340,000 is: 736,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,896 : 340,000 = 340,000 : x
  2. Step 2: Convert to fraction form
    156,896/340,000 = 340,000/x
  3. Step 3: Cross multiply
    156,896x = 340,000 × 340,000
  4. Step 4: Simplify right side
    156,896x = 115,600,000,000
  5. Step 5: Solve for x
    x = 115,600,000,000/156,896
  6. Step 6: Final answer
    x = 736,793.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.