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Finding the Third Proportional to 156,127 and 368,436

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Solution

The third proportional to 156,127 and 368,436 is: 869,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,127 : 368,436 = 368,436 : x
  2. Step 2: Convert to fraction form
    156,127/368,436 = 368,436/x
  3. Step 3: Cross multiply
    156,127x = 368,436 × 368,436
  4. Step 4: Simplify right side
    156,127x = 135,745,086,096
  5. Step 5: Solve for x
    x = 135,745,086,096/156,127
  6. Step 6: Final answer
    x = 869,452.98

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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.