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Finding the Third Proportional to 202,036 and 303,054

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Solution

The third proportional to 202,036 and 303,054 is: 454,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,036 : 303,054 = 303,054 : x
  2. Step 2: Convert to fraction form
    202,036/303,054 = 303,054/x
  3. Step 3: Cross multiply
    202,036x = 303,054 × 303,054
  4. Step 4: Simplify right side
    202,036x = 91,841,726,916
  5. Step 5: Solve for x
    x = 91,841,726,916/202,036
  6. Step 6: Final answer
    x = 454,581

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.