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Finding the Third Proportional to 202,301 and 303,970

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Solution

The third proportional to 202,301 and 303,970 is: 456,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,301 : 303,970 = 303,970 : x
  2. Step 2: Convert to fraction form
    202,301/303,970 = 303,970/x
  3. Step 3: Cross multiply
    202,301x = 303,970 × 303,970
  4. Step 4: Simplify right side
    202,301x = 92,397,760,900
  5. Step 5: Solve for x
    x = 92,397,760,900/202,301
  6. Step 6: Final answer
    x = 456,734.08

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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.