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Finding the Third Proportional to 157,680 and 230,652

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Solution

The third proportional to 157,680 and 230,652 is: 337,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,680 : 230,652 = 230,652 : x
  2. Step 2: Convert to fraction form
    157,680/230,652 = 230,652/x
  3. Step 3: Cross multiply
    157,680x = 230,652 × 230,652
  4. Step 4: Simplify right side
    157,680x = 53,200,345,104
  5. Step 5: Solve for x
    x = 53,200,345,104/157,680
  6. Step 6: Final answer
    x = 337,394.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.