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Finding the Third Proportional to 156,098 and 368,069

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Solution

The third proportional to 156,098 and 368,069 is: 867,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,098 : 368,069 = 368,069 : x
  2. Step 2: Convert to fraction form
    156,098/368,069 = 368,069/x
  3. Step 3: Cross multiply
    156,098x = 368,069 × 368,069
  4. Step 4: Simplify right side
    156,098x = 135,474,788,761
  5. Step 5: Solve for x
    x = 135,474,788,761/156,098
  6. Step 6: Final answer
    x = 867,882.92

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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.