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Finding the Third Proportional to 104,689 and 230,114

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Solution

The third proportional to 104,689 and 230,114 is: 505,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,689 : 230,114 = 230,114 : x
  2. Step 2: Convert to fraction form
    104,689/230,114 = 230,114/x
  3. Step 3: Cross multiply
    104,689x = 230,114 × 230,114
  4. Step 4: Simplify right side
    104,689x = 52,952,452,996
  5. Step 5: Solve for x
    x = 52,952,452,996/104,689
  6. Step 6: Final answer
    x = 505,807.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.