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Finding the Third Proportional to 165,298 and 245,516

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Solution

The third proportional to 165,298 and 245,516 is: 364,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,298 : 245,516 = 245,516 : x
  2. Step 2: Convert to fraction form
    165,298/245,516 = 245,516/x
  3. Step 3: Cross multiply
    165,298x = 245,516 × 245,516
  4. Step 4: Simplify right side
    165,298x = 60,278,106,256
  5. Step 5: Solve for x
    x = 60,278,106,256/165,298
  6. Step 6: Final answer
    x = 364,663.25

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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.