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Finding the Third Proportional to 110,500 and 241,897

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Solution

The third proportional to 110,500 and 241,897 is: 529,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,500 : 241,897 = 241,897 : x
  2. Step 2: Convert to fraction form
    110,500/241,897 = 241,897/x
  3. Step 3: Cross multiply
    110,500x = 241,897 × 241,897
  4. Step 4: Simplify right side
    110,500x = 58,514,158,609
  5. Step 5: Solve for x
    x = 58,514,158,609/110,500
  6. Step 6: Final answer
    x = 529,539.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.