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Finding the Third Proportional to 118,401 and 253,650

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Solution

The third proportional to 118,401 and 253,650 is: 543,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,401 : 253,650 = 253,650 : x
  2. Step 2: Convert to fraction form
    118,401/253,650 = 253,650/x
  3. Step 3: Cross multiply
    118,401x = 253,650 × 253,650
  4. Step 4: Simplify right side
    118,401x = 64,338,322,500
  5. Step 5: Solve for x
    x = 64,338,322,500/118,401
  6. Step 6: Final answer
    x = 543,393.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.