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Finding the Third Proportional to 197,726 and 306,419

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Solution

The third proportional to 197,726 and 306,419 is: 474,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,726 : 306,419 = 306,419 : x
  2. Step 2: Convert to fraction form
    197,726/306,419 = 306,419/x
  3. Step 3: Cross multiply
    197,726x = 306,419 × 306,419
  4. Step 4: Simplify right side
    197,726x = 93,892,603,561
  5. Step 5: Solve for x
    x = 93,892,603,561/197,726
  6. Step 6: Final answer
    x = 474,862.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.