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Finding the Third Proportional to 128,340 and 197,522

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Solution

The third proportional to 128,340 and 197,522 is: 303,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,340 : 197,522 = 197,522 : x
  2. Step 2: Convert to fraction form
    128,340/197,522 = 197,522/x
  3. Step 3: Cross multiply
    128,340x = 197,522 × 197,522
  4. Step 4: Simplify right side
    128,340x = 39,014,940,484
  5. Step 5: Solve for x
    x = 39,014,940,484/128,340
  6. Step 6: Final answer
    x = 303,996.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.