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Finding the Third Proportional to 205,084 and 446,072

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Solution

The third proportional to 205,084 and 446,072 is: 970,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,084 : 446,072 = 446,072 : x
  2. Step 2: Convert to fraction form
    205,084/446,072 = 446,072/x
  3. Step 3: Cross multiply
    205,084x = 446,072 × 446,072
  4. Step 4: Simplify right side
    205,084x = 198,980,229,184
  5. Step 5: Solve for x
    x = 198,980,229,184/205,084
  6. Step 6: Final answer
    x = 970,237.70

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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.