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Finding the Third Proportional to 156,123 and 368,426

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Solution

The third proportional to 156,123 and 368,426 is: 869,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,123 : 368,426 = 368,426 : x
  2. Step 2: Convert to fraction form
    156,123/368,426 = 368,426/x
  3. Step 3: Cross multiply
    156,123x = 368,426 × 368,426
  4. Step 4: Simplify right side
    156,123x = 135,737,717,476
  5. Step 5: Solve for x
    x = 135,737,717,476/156,123
  6. Step 6: Final answer
    x = 869,428.06

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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.