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Finding the Third Proportional to 156,068 and 368,188

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Solution

The third proportional to 156,068 and 368,188 is: 868,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,068 : 368,188 = 368,188 : x
  2. Step 2: Convert to fraction form
    156,068/368,188 = 368,188/x
  3. Step 3: Cross multiply
    156,068x = 368,188 × 368,188
  4. Step 4: Simplify right side
    156,068x = 135,562,403,344
  5. Step 5: Solve for x
    x = 135,562,403,344/156,068
  6. Step 6: Final answer
    x = 868,611.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.