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Finding the Third Proportional to 157,798 and 343,244

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Solution

The third proportional to 157,798 and 343,244 is: 746,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,798 : 343,244 = 343,244 : x
  2. Step 2: Convert to fraction form
    157,798/343,244 = 343,244/x
  3. Step 3: Cross multiply
    157,798x = 343,244 × 343,244
  4. Step 4: Simplify right side
    157,798x = 117,816,443,536
  5. Step 5: Solve for x
    x = 117,816,443,536/157,798
  6. Step 6: Final answer
    x = 746,628.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.