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Finding the Third Proportional to 202,215 and 303,971

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Solution

The third proportional to 202,215 and 303,971 is: 456,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,215 : 303,971 = 303,971 : x
  2. Step 2: Convert to fraction form
    202,215/303,971 = 303,971/x
  3. Step 3: Cross multiply
    202,215x = 303,971 × 303,971
  4. Step 4: Simplify right side
    202,215x = 92,398,368,841
  5. Step 5: Solve for x
    x = 92,398,368,841/202,215
  6. Step 6: Final answer
    x = 456,931.33

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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.