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Finding the Third Proportional to 160,829.30 and 343,745.02

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Solution

The third proportional to 160,829.30 and 343,745.02 is: 734,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,829.30 : 343,745.02 = 343,745.02 : x
  2. Step 2: Convert to fraction form
    160,829.30/343,745.02 = 343,745.02/x
  3. Step 3: Cross multiply
    160,829.30x = 343,745.02 × 343,745.02
  4. Step 4: Simplify right side
    160,829.30x = 118,160,635,767.03
  5. Step 5: Solve for x
    x = 118,160,635,767.03/160,829.30
  6. Step 6: Final answer
    x = 734,695.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.