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Finding the Third Proportional to 113,666 and 236,596

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Solution

The third proportional to 113,666 and 236,596 is: 492,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,666 : 236,596 = 236,596 : x
  2. Step 2: Convert to fraction form
    113,666/236,596 = 236,596/x
  3. Step 3: Cross multiply
    113,666x = 236,596 × 236,596
  4. Step 4: Simplify right side
    113,666x = 55,977,667,216
  5. Step 5: Solve for x
    x = 55,977,667,216/113,666
  6. Step 6: Final answer
    x = 492,475.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.