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Finding the Third Proportional to 112,433 and 240,805

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Solution

The third proportional to 112,433 and 240,805 is: 515,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,433 : 240,805 = 240,805 : x
  2. Step 2: Convert to fraction form
    112,433/240,805 = 240,805/x
  3. Step 3: Cross multiply
    112,433x = 240,805 × 240,805
  4. Step 4: Simplify right side
    112,433x = 57,987,048,025
  5. Step 5: Solve for x
    x = 57,987,048,025/112,433
  6. Step 6: Final answer
    x = 515,747.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.