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Finding the Third Proportional to 163,690.88 and 361,796.63

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Solution

The third proportional to 163,690.88 and 361,796.63 is: 799,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,690.88 : 361,796.63 = 361,796.63 : x
  2. Step 2: Convert to fraction form
    163,690.88/361,796.63 = 361,796.63/x
  3. Step 3: Cross multiply
    163,690.88x = 361,796.63 × 361,796.63
  4. Step 4: Simplify right side
    163,690.88x = 130,896,797,861.39
  5. Step 5: Solve for x
    x = 130,896,797,861.39/163,690.88
  6. Step 6: Final answer
    x = 799,658.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.