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Finding the Third Proportional to 156,015 and 368,167

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Solution

The third proportional to 156,015 and 368,167 is: 868,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,015 : 368,167 = 368,167 : x
  2. Step 2: Convert to fraction form
    156,015/368,167 = 368,167/x
  3. Step 3: Cross multiply
    156,015x = 368,167 × 368,167
  4. Step 4: Simplify right side
    156,015x = 135,546,939,889
  5. Step 5: Solve for x
    x = 135,546,939,889/156,015
  6. Step 6: Final answer
    x = 868,807.10

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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.