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Finding the Third Proportional to 172,068.75 and 347,503.50

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Solution

The third proportional to 172,068.75 and 347,503.50 is: 701,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,068.75 : 347,503.50 = 347,503.50 : x
  2. Step 2: Convert to fraction form
    172,068.75/347,503.50 = 347,503.50/x
  3. Step 3: Cross multiply
    172,068.75x = 347,503.50 × 347,503.50
  4. Step 4: Simplify right side
    172,068.75x = 120,758,682,512.25
  5. Step 5: Solve for x
    x = 120,758,682,512.25/172,068.75
  6. Step 6: Final answer
    x = 701,804.85

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.