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Finding the Third Proportional to 107,210 and 241,740

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Solution

The third proportional to 107,210 and 241,740 is: 545,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,210 : 241,740 = 241,740 : x
  2. Step 2: Convert to fraction form
    107,210/241,740 = 241,740/x
  3. Step 3: Cross multiply
    107,210x = 241,740 × 241,740
  4. Step 4: Simplify right side
    107,210x = 58,438,227,600
  5. Step 5: Solve for x
    x = 58,438,227,600/107,210
  6. Step 6: Final answer
    x = 545,081.87

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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.