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Finding the Third Proportional to 114,554.25 and 251,523

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Solution

The third proportional to 114,554.25 and 251,523 is: 552,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,554.25 : 251,523 = 251,523 : x
  2. Step 2: Convert to fraction form
    114,554.25/251,523 = 251,523/x
  3. Step 3: Cross multiply
    114,554.25x = 251,523 × 251,523
  4. Step 4: Simplify right side
    114,554.25x = 63,263,819,529
  5. Step 5: Solve for x
    x = 63,263,819,529/114,554.25
  6. Step 6: Final answer
    x = 552,260.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.