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Finding the Third Proportional to 175,062.94 and 384,022.69

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Solution

The third proportional to 175,062.94 and 384,022.69 is: 842,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,062.94 : 384,022.69 = 384,022.69 : x
  2. Step 2: Convert to fraction form
    175,062.94/384,022.69 = 384,022.69/x
  3. Step 3: Cross multiply
    175,062.94x = 384,022.69 × 384,022.69
  4. Step 4: Simplify right side
    175,062.94x = 147,473,424,514.72
  5. Step 5: Solve for x
    x = 147,473,424,514.72/175,062.94
  6. Step 6: Final answer
    x = 842,402.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.