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Finding the Third Proportional to 162,969 and 353,071

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Solution

The third proportional to 162,969 and 353,071 is: 764,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,969 : 353,071 = 353,071 : x
  2. Step 2: Convert to fraction form
    162,969/353,071 = 353,071/x
  3. Step 3: Cross multiply
    162,969x = 353,071 × 353,071
  4. Step 4: Simplify right side
    162,969x = 124,659,131,041
  5. Step 5: Solve for x
    x = 124,659,131,041/162,969
  6. Step 6: Final answer
    x = 764,925.42

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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.