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Finding the Third Proportional to 175,906 and 343,062

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Solution

The third proportional to 175,906 and 343,062 is: 669,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,906 : 343,062 = 343,062 : x
  2. Step 2: Convert to fraction form
    175,906/343,062 = 343,062/x
  3. Step 3: Cross multiply
    175,906x = 343,062 × 343,062
  4. Step 4: Simplify right side
    175,906x = 117,691,535,844
  5. Step 5: Solve for x
    x = 117,691,535,844/175,906
  6. Step 6: Final answer
    x = 669,059.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.