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Finding the Third Proportional to 157,967 and 341,219

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Solution

The third proportional to 157,967 and 341,219 is: 737,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,967 : 341,219 = 341,219 : x
  2. Step 2: Convert to fraction form
    157,967/341,219 = 341,219/x
  3. Step 3: Cross multiply
    157,967x = 341,219 × 341,219
  4. Step 4: Simplify right side
    157,967x = 116,430,405,961
  5. Step 5: Solve for x
    x = 116,430,405,961/157,967
  6. Step 6: Final answer
    x = 737,055.25

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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.