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Finding the Third Proportional to 116,222 and 252,000

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Solution

The third proportional to 116,222 and 252,000 is: 546,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,222 : 252,000 = 252,000 : x
  2. Step 2: Convert to fraction form
    116,222/252,000 = 252,000/x
  3. Step 3: Cross multiply
    116,222x = 252,000 × 252,000
  4. Step 4: Simplify right side
    116,222x = 63,504,000,000
  5. Step 5: Solve for x
    x = 63,504,000,000/116,222
  6. Step 6: Final answer
    x = 546,402.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.