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Finding the Third Proportional to 202,386 and 301,938

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Solution

The third proportional to 202,386 and 301,938 is: 450,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,386 : 301,938 = 301,938 : x
  2. Step 2: Convert to fraction form
    202,386/301,938 = 301,938/x
  3. Step 3: Cross multiply
    202,386x = 301,938 × 301,938
  4. Step 4: Simplify right side
    202,386x = 91,166,555,844
  5. Step 5: Solve for x
    x = 91,166,555,844/202,386
  6. Step 6: Final answer
    x = 450,458.81

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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.