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Finding the Third Proportional to 110,787 and 241,623

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Solution

The third proportional to 110,787 and 241,623 is: 526,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,787 : 241,623 = 241,623 : x
  2. Step 2: Convert to fraction form
    110,787/241,623 = 241,623/x
  3. Step 3: Cross multiply
    110,787x = 241,623 × 241,623
  4. Step 4: Simplify right side
    110,787x = 58,381,674,129
  5. Step 5: Solve for x
    x = 58,381,674,129/110,787
  6. Step 6: Final answer
    x = 526,972.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.