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Finding the Third Proportional to 84,966 and 197,503

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Solution

The third proportional to 84,966 and 197,503 is: 459,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,966 : 197,503 = 197,503 : x
  2. Step 2: Convert to fraction form
    84,966/197,503 = 197,503/x
  3. Step 3: Cross multiply
    84,966x = 197,503 × 197,503
  4. Step 4: Simplify right side
    84,966x = 39,007,435,009
  5. Step 5: Solve for x
    x = 39,007,435,009/84,966
  6. Step 6: Final answer
    x = 459,094.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.