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Finding the Third Proportional to 115,686 and 240,606

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Solution

The third proportional to 115,686 and 240,606 is: 500,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,686 : 240,606 = 240,606 : x
  2. Step 2: Convert to fraction form
    115,686/240,606 = 240,606/x
  3. Step 3: Cross multiply
    115,686x = 240,606 × 240,606
  4. Step 4: Simplify right side
    115,686x = 57,891,247,236
  5. Step 5: Solve for x
    x = 57,891,247,236/115,686
  6. Step 6: Final answer
    x = 500,417.05

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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.