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Finding the Third Proportional to 111,105 and 240,300

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Solution

The third proportional to 111,105 and 240,300 is: 519,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,105 : 240,300 = 240,300 : x
  2. Step 2: Convert to fraction form
    111,105/240,300 = 240,300/x
  3. Step 3: Cross multiply
    111,105x = 240,300 × 240,300
  4. Step 4: Simplify right side
    111,105x = 57,744,090,000
  5. Step 5: Solve for x
    x = 57,744,090,000/111,105
  6. Step 6: Final answer
    x = 519,725.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.