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Finding the Third Proportional to 158,000 and 342,232

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Solution

The third proportional to 158,000 and 342,232 is: 741,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,000 : 342,232 = 342,232 : x
  2. Step 2: Convert to fraction form
    158,000/342,232 = 342,232/x
  3. Step 3: Cross multiply
    158,000x = 342,232 × 342,232
  4. Step 4: Simplify right side
    158,000x = 117,122,741,824
  5. Step 5: Solve for x
    x = 117,122,741,824/158,000
  6. Step 6: Final answer
    x = 741,283.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.