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Finding the Third Proportional to 168,436.13 and 365,200.88

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Solution

The third proportional to 168,436.13 and 365,200.88 is: 791,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,436.13 : 365,200.88 = 365,200.88 : x
  2. Step 2: Convert to fraction form
    168,436.13/365,200.88 = 365,200.88/x
  3. Step 3: Cross multiply
    168,436.13x = 365,200.88 × 365,200.88
  4. Step 4: Simplify right side
    168,436.13x = 133,371,679,100.77
  5. Step 5: Solve for x
    x = 133,371,679,100.77/168,436.13
  6. Step 6: Final answer
    x = 791,823.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.