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Finding the Third Proportional to 94,574 and 205,948

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Solution

The third proportional to 94,574 and 205,948 is: 448,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,574 : 205,948 = 205,948 : x
  2. Step 2: Convert to fraction form
    94,574/205,948 = 205,948/x
  3. Step 3: Cross multiply
    94,574x = 205,948 × 205,948
  4. Step 4: Simplify right side
    94,574x = 42,414,578,704
  5. Step 5: Solve for x
    x = 42,414,578,704/94,574
  6. Step 6: Final answer
    x = 448,480.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.