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Finding the Third Proportional to 205,146 and 443,091

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Solution

The third proportional to 205,146 and 443,091 is: 957,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146 : 443,091 = 443,091 : x
  2. Step 2: Convert to fraction form
    205,146/443,091 = 443,091/x
  3. Step 3: Cross multiply
    205,146x = 443,091 × 443,091
  4. Step 4: Simplify right side
    205,146x = 196,329,634,281
  5. Step 5: Solve for x
    x = 196,329,634,281/205,146
  6. Step 6: Final answer
    x = 957,023.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.