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Finding the Third Proportional to 170,516 and 368,176

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Solution

The third proportional to 170,516 and 368,176 is: 794,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,516 : 368,176 = 368,176 : x
  2. Step 2: Convert to fraction form
    170,516/368,176 = 368,176/x
  3. Step 3: Cross multiply
    170,516x = 368,176 × 368,176
  4. Step 4: Simplify right side
    170,516x = 135,553,566,976
  5. Step 5: Solve for x
    x = 135,553,566,976/170,516
  6. Step 6: Final answer
    x = 794,960.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.