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Finding the Third Proportional to 156,688 and 332,672

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Solution

The third proportional to 156,688 and 332,672 is: 706,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,688 : 332,672 = 332,672 : x
  2. Step 2: Convert to fraction form
    156,688/332,672 = 332,672/x
  3. Step 3: Cross multiply
    156,688x = 332,672 × 332,672
  4. Step 4: Simplify right side
    156,688x = 110,670,659,584
  5. Step 5: Solve for x
    x = 110,670,659,584/156,688
  6. Step 6: Final answer
    x = 706,312.29

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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.