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Finding the Third Proportional to 116,646 and 258,171

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Solution

The third proportional to 116,646 and 258,171 is: 571,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,646 : 258,171 = 258,171 : x
  2. Step 2: Convert to fraction form
    116,646/258,171 = 258,171/x
  3. Step 3: Cross multiply
    116,646x = 258,171 × 258,171
  4. Step 4: Simplify right side
    116,646x = 66,652,265,241
  5. Step 5: Solve for x
    x = 66,652,265,241/116,646
  6. Step 6: Final answer
    x = 571,406.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.