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Finding the Third Proportional to 202,082 and 301,875

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Solution

The third proportional to 202,082 and 301,875 is: 450,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082 : 301,875 = 301,875 : x
  2. Step 2: Convert to fraction form
    202,082/301,875 = 301,875/x
  3. Step 3: Cross multiply
    202,082x = 301,875 × 301,875
  4. Step 4: Simplify right side
    202,082x = 91,128,515,625
  5. Step 5: Solve for x
    x = 91,128,515,625/202,082
  6. Step 6: Final answer
    x = 450,948.21

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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.