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Finding the Third Proportional to 161,454 and 351,971

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Solution

The third proportional to 161,454 and 351,971 is: 767,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,454 : 351,971 = 351,971 : x
  2. Step 2: Convert to fraction form
    161,454/351,971 = 351,971/x
  3. Step 3: Cross multiply
    161,454x = 351,971 × 351,971
  4. Step 4: Simplify right side
    161,454x = 123,883,584,841
  5. Step 5: Solve for x
    x = 123,883,584,841/161,454
  6. Step 6: Final answer
    x = 767,299.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.