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Finding the Third Proportional to 114,503 and 252,253

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Solution

The third proportional to 114,503 and 252,253 is: 555,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,503 : 252,253 = 252,253 : x
  2. Step 2: Convert to fraction form
    114,503/252,253 = 252,253/x
  3. Step 3: Cross multiply
    114,503x = 252,253 × 252,253
  4. Step 4: Simplify right side
    114,503x = 63,631,576,009
  5. Step 5: Solve for x
    x = 63,631,576,009/114,503
  6. Step 6: Final answer
    x = 555,719.73

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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.