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Finding the Third Proportional to 109,798 and 239,674

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Solution

The third proportional to 109,798 and 239,674 is: 523,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,798 : 239,674 = 239,674 : x
  2. Step 2: Convert to fraction form
    109,798/239,674 = 239,674/x
  3. Step 3: Cross multiply
    109,798x = 239,674 × 239,674
  4. Step 4: Simplify right side
    109,798x = 57,443,626,276
  5. Step 5: Solve for x
    x = 57,443,626,276/109,798
  6. Step 6: Final answer
    x = 523,175.52

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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.