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Finding the Third Proportional to 116,670 and 241,116

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Solution

The third proportional to 116,670 and 241,116 is: 498,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,670 : 241,116 = 241,116 : x
  2. Step 2: Convert to fraction form
    116,670/241,116 = 241,116/x
  3. Step 3: Cross multiply
    116,670x = 241,116 × 241,116
  4. Step 4: Simplify right side
    116,670x = 58,136,925,456
  5. Step 5: Solve for x
    x = 58,136,925,456/116,670
  6. Step 6: Final answer
    x = 498,302.27

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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.