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Finding the Third Proportional to 168,111 and 234,153

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Solution

The third proportional to 168,111 and 234,153 is: 326,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,111 : 234,153 = 234,153 : x
  2. Step 2: Convert to fraction form
    168,111/234,153 = 234,153/x
  3. Step 3: Cross multiply
    168,111x = 234,153 × 234,153
  4. Step 4: Simplify right side
    168,111x = 54,827,627,409
  5. Step 5: Solve for x
    x = 54,827,627,409/168,111
  6. Step 6: Final answer
    x = 326,139.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.