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Finding the Third Proportional to 202,904 and 303,236

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Solution

The third proportional to 202,904 and 303,236 is: 453,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904 : 303,236 = 303,236 : x
  2. Step 2: Convert to fraction form
    202,904/303,236 = 303,236/x
  3. Step 3: Cross multiply
    202,904x = 303,236 × 303,236
  4. Step 4: Simplify right side
    202,904x = 91,952,071,696
  5. Step 5: Solve for x
    x = 91,952,071,696/202,904
  6. Step 6: Final answer
    x = 453,180.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.