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Finding the Third Proportional to 170,835.75 and 408,017.25

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Solution

The third proportional to 170,835.75 and 408,017.25 is: 974,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,835.75 : 408,017.25 = 408,017.25 : x
  2. Step 2: Convert to fraction form
    170,835.75/408,017.25 = 408,017.25/x
  3. Step 3: Cross multiply
    170,835.75x = 408,017.25 × 408,017.25
  4. Step 4: Simplify right side
    170,835.75x = 166,478,076,297.56
  5. Step 5: Solve for x
    x = 166,478,076,297.56/170,835.75
  6. Step 6: Final answer
    x = 974,492.03

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.