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Finding the Third Proportional to 156,467.25 and 212,546.25

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Solution

The third proportional to 156,467.25 and 212,546.25 is: 288,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,467.25 : 212,546.25 = 212,546.25 : x
  2. Step 2: Convert to fraction form
    156,467.25/212,546.25 = 212,546.25/x
  3. Step 3: Cross multiply
    156,467.25x = 212,546.25 × 212,546.25
  4. Step 4: Simplify right side
    156,467.25x = 45,175,908,389.06
  5. Step 5: Solve for x
    x = 45,175,908,389.06/156,467.25
  6. Step 6: Final answer
    x = 288,724.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.