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Finding the Third Proportional to 170,633.25 and 371,364.75

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Solution

The third proportional to 170,633.25 and 371,364.75 is: 808,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,633.25 : 371,364.75 = 371,364.75 : x
  2. Step 2: Convert to fraction form
    170,633.25/371,364.75 = 371,364.75/x
  3. Step 3: Cross multiply
    170,633.25x = 371,364.75 × 371,364.75
  4. Step 4: Simplify right side
    170,633.25x = 137,911,777,542.56
  5. Step 5: Solve for x
    x = 137,911,777,542.56/170,633.25
  6. Step 6: Final answer
    x = 808,235.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.