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Finding the Third Proportional to 116,602 and 251,041

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Solution

The third proportional to 116,602 and 251,041 is: 540,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,602 : 251,041 = 251,041 : x
  2. Step 2: Convert to fraction form
    116,602/251,041 = 251,041/x
  3. Step 3: Cross multiply
    116,602x = 251,041 × 251,041
  4. Step 4: Simplify right side
    116,602x = 63,021,583,681
  5. Step 5: Solve for x
    x = 63,021,583,681/116,602
  6. Step 6: Final answer
    x = 540,484.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.