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Finding the Third Proportional to 156,010 and 368,155

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Solution

The third proportional to 156,010 and 368,155 is: 868,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,010 : 368,155 = 368,155 : x
  2. Step 2: Convert to fraction form
    156,010/368,155 = 368,155/x
  3. Step 3: Cross multiply
    156,010x = 368,155 × 368,155
  4. Step 4: Simplify right side
    156,010x = 135,538,104,025
  5. Step 5: Solve for x
    x = 135,538,104,025/156,010
  6. Step 6: Final answer
    x = 868,778.31

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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.