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Finding the Third Proportional to 114,174 and 252,828

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Solution

The third proportional to 114,174 and 252,828 is: 559,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,174 : 252,828 = 252,828 : x
  2. Step 2: Convert to fraction form
    114,174/252,828 = 252,828/x
  3. Step 3: Cross multiply
    114,174x = 252,828 × 252,828
  4. Step 4: Simplify right side
    114,174x = 63,921,997,584
  5. Step 5: Solve for x
    x = 63,921,997,584/114,174
  6. Step 6: Final answer
    x = 559,864.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.