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Finding the Third Proportional to 94,680 and 205,455

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Solution

The third proportional to 94,680 and 205,455 is: 445,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,680 : 205,455 = 205,455 : x
  2. Step 2: Convert to fraction form
    94,680/205,455 = 205,455/x
  3. Step 3: Cross multiply
    94,680x = 205,455 × 205,455
  4. Step 4: Simplify right side
    94,680x = 42,211,757,025
  5. Step 5: Solve for x
    x = 42,211,757,025/94,680
  6. Step 6: Final answer
    x = 445,836.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.