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Finding the Third Proportional to 116,559 and 241,407

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Solution

The third proportional to 116,559 and 241,407 is: 499,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,559 : 241,407 = 241,407 : x
  2. Step 2: Convert to fraction form
    116,559/241,407 = 241,407/x
  3. Step 3: Cross multiply
    116,559x = 241,407 × 241,407
  4. Step 4: Simplify right side
    116,559x = 58,277,339,649
  5. Step 5: Solve for x
    x = 58,277,339,649/116,559
  6. Step 6: Final answer
    x = 499,981.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.