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Finding the Third Proportional to 133,085 and 295,695

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Solution

The third proportional to 133,085 and 295,695 is: 656,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 295,695 = 295,695 : x
  2. Step 2: Convert to fraction form
    133,085/295,695 = 295,695/x
  3. Step 3: Cross multiply
    133,085x = 295,695 × 295,695
  4. Step 4: Simplify right side
    133,085x = 87,435,533,025
  5. Step 5: Solve for x
    x = 87,435,533,025/133,085
  6. Step 6: Final answer
    x = 656,990.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.