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Finding the Third Proportional to 156,916 and 232,326

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Solution

The third proportional to 156,916 and 232,326 is: 343,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,916 : 232,326 = 232,326 : x
  2. Step 2: Convert to fraction form
    156,916/232,326 = 232,326/x
  3. Step 3: Cross multiply
    156,916x = 232,326 × 232,326
  4. Step 4: Simplify right side
    156,916x = 53,975,370,276
  5. Step 5: Solve for x
    x = 53,975,370,276/156,916
  6. Step 6: Final answer
    x = 343,976.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.