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Finding the Third Proportional to 118,298 and 253,201

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Solution

The third proportional to 118,298 and 253,201 is: 541,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,298 : 253,201 = 253,201 : x
  2. Step 2: Convert to fraction form
    118,298/253,201 = 253,201/x
  3. Step 3: Cross multiply
    118,298x = 253,201 × 253,201
  4. Step 4: Simplify right side
    118,298x = 64,110,746,401
  5. Step 5: Solve for x
    x = 64,110,746,401/118,298
  6. Step 6: Final answer
    x = 541,942.78

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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.