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Finding the Third Proportional to 156,095 and 331,627

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Solution

The third proportional to 156,095 and 331,627 is: 704,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,095 : 331,627 = 331,627 : x
  2. Step 2: Convert to fraction form
    156,095/331,627 = 331,627/x
  3. Step 3: Cross multiply
    156,095x = 331,627 × 331,627
  4. Step 4: Simplify right side
    156,095x = 109,976,467,129
  5. Step 5: Solve for x
    x = 109,976,467,129/156,095
  6. Step 6: Final answer
    x = 704,548.30

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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.