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Finding the Third Proportional to 193,276.13 and 298,662.19

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Solution

The third proportional to 193,276.13 and 298,662.19 is: 461,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,276.13 : 298,662.19 = 298,662.19 : x
  2. Step 2: Convert to fraction form
    193,276.13/298,662.19 = 298,662.19/x
  3. Step 3: Cross multiply
    193,276.13x = 298,662.19 × 298,662.19
  4. Step 4: Simplify right side
    193,276.13x = 89,199,102,242.29
  5. Step 5: Solve for x
    x = 89,199,102,242.29/193,276.13
  6. Step 6: Final answer
    x = 461,511.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.