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Finding the Third Proportional to 156,914 and 232,323

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Solution

The third proportional to 156,914 and 232,323 is: 343,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,914 : 232,323 = 232,323 : x
  2. Step 2: Convert to fraction form
    156,914/232,323 = 232,323/x
  3. Step 3: Cross multiply
    156,914x = 232,323 × 232,323
  4. Step 4: Simplify right side
    156,914x = 53,973,976,329
  5. Step 5: Solve for x
    x = 53,973,976,329/156,914
  6. Step 6: Final answer
    x = 343,971.71

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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.