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Finding the Third Proportional to 168,435 and 253,338

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Solution

The third proportional to 168,435 and 253,338 is: 381,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,435 : 253,338 = 253,338 : x
  2. Step 2: Convert to fraction form
    168,435/253,338 = 253,338/x
  3. Step 3: Cross multiply
    168,435x = 253,338 × 253,338
  4. Step 4: Simplify right side
    168,435x = 64,180,142,244
  5. Step 5: Solve for x
    x = 64,180,142,244/168,435
  6. Step 6: Final answer
    x = 381,038.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.