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Finding the Third Proportional to 160,509.50 and 347,768.25

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Solution

The third proportional to 160,509.50 and 347,768.25 is: 753,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,509.50 : 347,768.25 = 347,768.25 : x
  2. Step 2: Convert to fraction form
    160,509.50/347,768.25 = 347,768.25/x
  3. Step 3: Cross multiply
    160,509.50x = 347,768.25 × 347,768.25
  4. Step 4: Simplify right side
    160,509.50x = 120,942,755,708.06
  5. Step 5: Solve for x
    x = 120,942,755,708.06/160,509.50
  6. Step 6: Final answer
    x = 753,492.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.