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Finding the Third Proportional to 192,322.69 and 298,554.19

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Solution

The third proportional to 192,322.69 and 298,554.19 is: 463,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,322.69 : 298,554.19 = 298,554.19 : x
  2. Step 2: Convert to fraction form
    192,322.69/298,554.19 = 298,554.19/x
  3. Step 3: Cross multiply
    192,322.69x = 298,554.19 × 298,554.19
  4. Step 4: Simplify right side
    192,322.69x = 89,134,602,873.79
  5. Step 5: Solve for x
    x = 89,134,602,873.79/192,322.69
  6. Step 6: Final answer
    x = 463,463.80

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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.