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Finding the Third Proportional to 165,298 and 245,517

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Solution

The third proportional to 165,298 and 245,517 is: 364,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,298 : 245,517 = 245,517 : x
  2. Step 2: Convert to fraction form
    165,298/245,517 = 245,517/x
  3. Step 3: Cross multiply
    165,298x = 245,517 × 245,517
  4. Step 4: Simplify right side
    165,298x = 60,278,597,289
  5. Step 5: Solve for x
    x = 60,278,597,289/165,298
  6. Step 6: Final answer
    x = 364,666.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.