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Finding the Third Proportional to 160,745.45 and 349,192.90

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Solution

The third proportional to 160,745.45 and 349,192.90 is: 758,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,745.45 : 349,192.90 = 349,192.90 : x
  2. Step 2: Convert to fraction form
    160,745.45/349,192.90 = 349,192.90/x
  3. Step 3: Cross multiply
    160,745.45x = 349,192.90 × 349,192.90
  4. Step 4: Simplify right side
    160,745.45x = 121,935,680,319.18
  5. Step 5: Solve for x
    x = 121,935,680,319.18/160,745.45
  6. Step 6: Final answer
    x = 758,563.81

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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.