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Finding the Third Proportional to 170,656 and 366,584

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Solution

The third proportional to 170,656 and 366,584 is: 787,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,656 : 366,584 = 366,584 : x
  2. Step 2: Convert to fraction form
    170,656/366,584 = 366,584/x
  3. Step 3: Cross multiply
    170,656x = 366,584 × 366,584
  4. Step 4: Simplify right side
    170,656x = 134,383,829,056
  5. Step 5: Solve for x
    x = 134,383,829,056/170,656
  6. Step 6: Final answer
    x = 787,454.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.