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Finding the Third Proportional to 115,666 and 252,288

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Solution

The third proportional to 115,666 and 252,288 is: 550,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,666 : 252,288 = 252,288 : x
  2. Step 2: Convert to fraction form
    115,666/252,288 = 252,288/x
  3. Step 3: Cross multiply
    115,666x = 252,288 × 252,288
  4. Step 4: Simplify right side
    115,666x = 63,649,234,944
  5. Step 5: Solve for x
    x = 63,649,234,944/115,666
  6. Step 6: Final answer
    x = 550,284.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.