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Finding the Third Proportional to 114,615 and 252,549

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Solution

The third proportional to 114,615 and 252,549 is: 556,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,615 : 252,549 = 252,549 : x
  2. Step 2: Convert to fraction form
    114,615/252,549 = 252,549/x
  3. Step 3: Cross multiply
    114,615x = 252,549 × 252,549
  4. Step 4: Simplify right side
    114,615x = 63,780,997,401
  5. Step 5: Solve for x
    x = 63,780,997,401/114,615
  6. Step 6: Final answer
    x = 556,480.37

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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.