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Finding the Third Proportional to 168,130.69 and 362,819.25

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Solution

The third proportional to 168,130.69 and 362,819.25 is: 782,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,130.69 : 362,819.25 = 362,819.25 : x
  2. Step 2: Convert to fraction form
    168,130.69/362,819.25 = 362,819.25/x
  3. Step 3: Cross multiply
    168,130.69x = 362,819.25 × 362,819.25
  4. Step 4: Simplify right side
    168,130.69x = 131,637,808,170.56
  5. Step 5: Solve for x
    x = 131,637,808,170.56/168,130.69
  6. Step 6: Final answer
    x = 782,949.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.