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Finding the Third Proportional to 236,695 and 332,929

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Solution

The third proportional to 236,695 and 332,929 is: 468,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,695 : 332,929 = 332,929 : x
  2. Step 2: Convert to fraction form
    236,695/332,929 = 332,929/x
  3. Step 3: Cross multiply
    236,695x = 332,929 × 332,929
  4. Step 4: Simplify right side
    236,695x = 110,841,719,041
  5. Step 5: Solve for x
    x = 110,841,719,041/236,695
  6. Step 6: Final answer
    x = 468,289.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.