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Finding the Third Proportional to 202,002 and 307,197

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Solution

The third proportional to 202,002 and 307,197 is: 467,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002 : 307,197 = 307,197 : x
  2. Step 2: Convert to fraction form
    202,002/307,197 = 307,197/x
  3. Step 3: Cross multiply
    202,002x = 307,197 × 307,197
  4. Step 4: Simplify right side
    202,002x = 94,369,996,809
  5. Step 5: Solve for x
    x = 94,369,996,809/202,002
  6. Step 6: Final answer
    x = 467,173.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.