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Finding the Third Proportional to 156,688 and 332,137

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Solution

The third proportional to 156,688 and 332,137 is: 704,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,688 : 332,137 = 332,137 : x
  2. Step 2: Convert to fraction form
    156,688/332,137 = 332,137/x
  3. Step 3: Cross multiply
    156,688x = 332,137 × 332,137
  4. Step 4: Simplify right side
    156,688x = 110,314,986,769
  5. Step 5: Solve for x
    x = 110,314,986,769/156,688
  6. Step 6: Final answer
    x = 704,042.34

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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.