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Finding the Third Proportional to 116,703 and 237,685

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Solution

The third proportional to 116,703 and 237,685 is: 484,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,703 : 237,685 = 237,685 : x
  2. Step 2: Convert to fraction form
    116,703/237,685 = 237,685/x
  3. Step 3: Cross multiply
    116,703x = 237,685 × 237,685
  4. Step 4: Simplify right side
    116,703x = 56,494,159,225
  5. Step 5: Solve for x
    x = 56,494,159,225/116,703
  6. Step 6: Final answer
    x = 484,084.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.