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Finding the Third Proportional to 161,606 and 343,948

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Solution

The third proportional to 161,606 and 343,948 is: 732,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,606 : 343,948 = 343,948 : x
  2. Step 2: Convert to fraction form
    161,606/343,948 = 343,948/x
  3. Step 3: Cross multiply
    161,606x = 343,948 × 343,948
  4. Step 4: Simplify right side
    161,606x = 118,300,226,704
  5. Step 5: Solve for x
    x = 118,300,226,704/161,606
  6. Step 6: Final answer
    x = 732,028.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.