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Finding the Third Proportional to 157,968 and 341,226

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Solution

The third proportional to 157,968 and 341,226 is: 737,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,968 : 341,226 = 341,226 : x
  2. Step 2: Convert to fraction form
    157,968/341,226 = 341,226/x
  3. Step 3: Cross multiply
    157,968x = 341,226 × 341,226
  4. Step 4: Simplify right side
    157,968x = 116,435,183,076
  5. Step 5: Solve for x
    x = 116,435,183,076/157,968
  6. Step 6: Final answer
    x = 737,080.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.