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Finding the Third Proportional to 156,096 and 368,361

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Solution

The third proportional to 156,096 and 368,361 is: 869,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,096 : 368,361 = 368,361 : x
  2. Step 2: Convert to fraction form
    156,096/368,361 = 368,361/x
  3. Step 3: Cross multiply
    156,096x = 368,361 × 368,361
  4. Step 4: Simplify right side
    156,096x = 135,689,826,321
  5. Step 5: Solve for x
    x = 135,689,826,321/156,096
  6. Step 6: Final answer
    x = 869,271.64

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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.