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Finding the Third Proportional to 168,113 and 234,156

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Solution

The third proportional to 168,113 and 234,156 is: 326,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,113 : 234,156 = 234,156 : x
  2. Step 2: Convert to fraction form
    168,113/234,156 = 234,156/x
  3. Step 3: Cross multiply
    168,113x = 234,156 × 234,156
  4. Step 4: Simplify right side
    168,113x = 54,829,032,336
  5. Step 5: Solve for x
    x = 54,829,032,336/168,113
  6. Step 6: Final answer
    x = 326,143.92

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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.