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Finding the Third Proportional to 116,000 and 242,008

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Solution

The third proportional to 116,000 and 242,008 is: 504,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,000 : 242,008 = 242,008 : x
  2. Step 2: Convert to fraction form
    116,000/242,008 = 242,008/x
  3. Step 3: Cross multiply
    116,000x = 242,008 × 242,008
  4. Step 4: Simplify right side
    116,000x = 58,567,872,064
  5. Step 5: Solve for x
    x = 58,567,872,064/116,000
  6. Step 6: Final answer
    x = 504,895.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.