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Finding the Third Proportional to 222,726 and 341,145

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Solution

The third proportional to 222,726 and 341,145 is: 522,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,726 : 341,145 = 341,145 : x
  2. Step 2: Convert to fraction form
    222,726/341,145 = 341,145/x
  3. Step 3: Cross multiply
    222,726x = 341,145 × 341,145
  4. Step 4: Simplify right side
    222,726x = 116,379,911,025
  5. Step 5: Solve for x
    x = 116,379,911,025/222,726
  6. Step 6: Final answer
    x = 522,525.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.