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Finding the Third Proportional to 157,969 and 341,223

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Solution

The third proportional to 157,969 and 341,223 is: 737,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969 : 341,223 = 341,223 : x
  2. Step 2: Convert to fraction form
    157,969/341,223 = 341,223/x
  3. Step 3: Cross multiply
    157,969x = 341,223 × 341,223
  4. Step 4: Simplify right side
    157,969x = 116,433,135,729
  5. Step 5: Solve for x
    x = 116,433,135,729/157,969
  6. Step 6: Final answer
    x = 737,063.19

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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.