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Finding the Third Proportional to 173,635.50 and 260,914.50

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Solution

The third proportional to 173,635.50 and 260,914.50 is: 392,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,635.50 : 260,914.50 = 260,914.50 : x
  2. Step 2: Convert to fraction form
    173,635.50/260,914.50 = 260,914.50/x
  3. Step 3: Cross multiply
    173,635.50x = 260,914.50 × 260,914.50
  4. Step 4: Simplify right side
    173,635.50x = 68,076,376,310.25
  5. Step 5: Solve for x
    x = 68,076,376,310.25/173,635.50
  6. Step 6: Final answer
    x = 392,064.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.