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Finding the Third Proportional to 156,226 and 340,964

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Solution

The third proportional to 156,226 and 340,964 is: 744,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,226 : 340,964 = 340,964 : x
  2. Step 2: Convert to fraction form
    156,226/340,964 = 340,964/x
  3. Step 3: Cross multiply
    156,226x = 340,964 × 340,964
  4. Step 4: Simplify right side
    156,226x = 116,256,449,296
  5. Step 5: Solve for x
    x = 116,256,449,296/156,226
  6. Step 6: Final answer
    x = 744,155.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.