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Finding the Third Proportional to 170,838.38 and 371,166.38

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Solution

The third proportional to 170,838.38 and 371,166.38 is: 806,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838.38 : 371,166.38 = 371,166.38 : x
  2. Step 2: Convert to fraction form
    170,838.38/371,166.38 = 371,166.38/x
  3. Step 3: Cross multiply
    170,838.38x = 371,166.38 × 371,166.38
  4. Step 4: Simplify right side
    170,838.38x = 137,764,477,930.64
  5. Step 5: Solve for x
    x = 137,764,477,930.64/170,838.38
  6. Step 6: Final answer
    x = 806,402.41

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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.