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Finding the Third Proportional to 156,686 and 332,133

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Solution

The third proportional to 156,686 and 332,133 is: 704,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,686 : 332,133 = 332,133 : x
  2. Step 2: Convert to fraction form
    156,686/332,133 = 332,133/x
  3. Step 3: Cross multiply
    156,686x = 332,133 × 332,133
  4. Step 4: Simplify right side
    156,686x = 110,312,329,689
  5. Step 5: Solve for x
    x = 110,312,329,689/156,686
  6. Step 6: Final answer
    x = 704,034.37

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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.