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Finding the Third Proportional to 168,116 and 234,160

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Solution

The third proportional to 168,116 and 234,160 is: 326,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,116 : 234,160 = 234,160 : x
  2. Step 2: Convert to fraction form
    168,116/234,160 = 234,160/x
  3. Step 3: Cross multiply
    168,116x = 234,160 × 234,160
  4. Step 4: Simplify right side
    168,116x = 54,830,905,600
  5. Step 5: Solve for x
    x = 54,830,905,600/168,116
  6. Step 6: Final answer
    x = 326,149.24

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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.