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Finding the Third Proportional to 110,664 and 240,093

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Solution

The third proportional to 110,664 and 240,093 is: 520,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,664 : 240,093 = 240,093 : x
  2. Step 2: Convert to fraction form
    110,664/240,093 = 240,093/x
  3. Step 3: Cross multiply
    110,664x = 240,093 × 240,093
  4. Step 4: Simplify right side
    110,664x = 57,644,648,649
  5. Step 5: Solve for x
    x = 57,644,648,649/110,664
  6. Step 6: Final answer
    x = 520,897.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.