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Finding the Third Proportional to 168,995 and 371,038

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Solution

The third proportional to 168,995 and 371,038 is: 814,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,995 : 371,038 = 371,038 : x
  2. Step 2: Convert to fraction form
    168,995/371,038 = 371,038/x
  3. Step 3: Cross multiply
    168,995x = 371,038 × 371,038
  4. Step 4: Simplify right side
    168,995x = 137,669,197,444
  5. Step 5: Solve for x
    x = 137,669,197,444/168,995
  6. Step 6: Final answer
    x = 814,634.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.