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Finding the Third Proportional to 170,016 and 373,584

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Solution

The third proportional to 170,016 and 373,584 is: 820,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,016 : 373,584 = 373,584 : x
  2. Step 2: Convert to fraction form
    170,016/373,584 = 373,584/x
  3. Step 3: Cross multiply
    170,016x = 373,584 × 373,584
  4. Step 4: Simplify right side
    170,016x = 139,565,005,056
  5. Step 5: Solve for x
    x = 139,565,005,056/170,016
  6. Step 6: Final answer
    x = 820,893.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.