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Finding the Third Proportional to 202,211 and 306,101

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Solution

The third proportional to 202,211 and 306,101 is: 463,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,211 : 306,101 = 306,101 : x
  2. Step 2: Convert to fraction form
    202,211/306,101 = 306,101/x
  3. Step 3: Cross multiply
    202,211x = 306,101 × 306,101
  4. Step 4: Simplify right side
    202,211x = 93,697,822,201
  5. Step 5: Solve for x
    x = 93,697,822,201/202,211
  6. Step 6: Final answer
    x = 463,366.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.