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Finding the Third Proportional to 202,165 and 306,938

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Solution

The third proportional to 202,165 and 306,938 is: 466,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165 : 306,938 = 306,938 : x
  2. Step 2: Convert to fraction form
    202,165/306,938 = 306,938/x
  3. Step 3: Cross multiply
    202,165x = 306,938 × 306,938
  4. Step 4: Simplify right side
    202,165x = 94,210,935,844
  5. Step 5: Solve for x
    x = 94,210,935,844/202,165
  6. Step 6: Final answer
    x = 466,010.12

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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.