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Finding the Third Proportional to 164,884 and 232,926

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Solution

The third proportional to 164,884 and 232,926 is: 329,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,884 : 232,926 = 232,926 : x
  2. Step 2: Convert to fraction form
    164,884/232,926 = 232,926/x
  3. Step 3: Cross multiply
    164,884x = 232,926 × 232,926
  4. Step 4: Simplify right side
    164,884x = 54,254,521,476
  5. Step 5: Solve for x
    x = 54,254,521,476/164,884
  6. Step 6: Final answer
    x = 329,046.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.