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Finding the Third Proportional to 161,627 and 342,956

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Solution

The third proportional to 161,627 and 342,956 is: 727,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,627 : 342,956 = 342,956 : x
  2. Step 2: Convert to fraction form
    161,627/342,956 = 342,956/x
  3. Step 3: Cross multiply
    161,627x = 342,956 × 342,956
  4. Step 4: Simplify right side
    161,627x = 117,618,817,936
  5. Step 5: Solve for x
    x = 117,618,817,936/161,627
  6. Step 6: Final answer
    x = 727,717.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.