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Finding the Third Proportional to 161,773 and 351,489

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Solution

The third proportional to 161,773 and 351,489 is: 763,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,773 : 351,489 = 351,489 : x
  2. Step 2: Convert to fraction form
    161,773/351,489 = 351,489/x
  3. Step 3: Cross multiply
    161,773x = 351,489 × 351,489
  4. Step 4: Simplify right side
    161,773x = 123,544,517,121
  5. Step 5: Solve for x
    x = 123,544,517,121/161,773
  6. Step 6: Final answer
    x = 763,690.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.