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Finding the Third Proportional to 128,549 and 197,711

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Solution

The third proportional to 128,549 and 197,711 is: 304,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,549 : 197,711 = 197,711 : x
  2. Step 2: Convert to fraction form
    128,549/197,711 = 197,711/x
  3. Step 3: Cross multiply
    128,549x = 197,711 × 197,711
  4. Step 4: Simplify right side
    128,549x = 39,089,639,521
  5. Step 5: Solve for x
    x = 39,089,639,521/128,549
  6. Step 6: Final answer
    x = 304,083.58

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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.