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Finding the Third Proportional to 107,211 and 241,743

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Solution

The third proportional to 107,211 and 241,743 is: 545,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,211 : 241,743 = 241,743 : x
  2. Step 2: Convert to fraction form
    107,211/241,743 = 241,743/x
  3. Step 3: Cross multiply
    107,211x = 241,743 × 241,743
  4. Step 4: Simplify right side
    107,211x = 58,439,678,049
  5. Step 5: Solve for x
    x = 58,439,678,049/107,211
  6. Step 6: Final answer
    x = 545,090.32

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.