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Finding the Third Proportional to 160,741.50 and 343,626

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Solution

The third proportional to 160,741.50 and 343,626 is: 734,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,741.50 : 343,626 = 343,626 : x
  2. Step 2: Convert to fraction form
    160,741.50/343,626 = 343,626/x
  3. Step 3: Cross multiply
    160,741.50x = 343,626 × 343,626
  4. Step 4: Simplify right side
    160,741.50x = 118,078,827,876
  5. Step 5: Solve for x
    x = 118,078,827,876/160,741.50
  6. Step 6: Final answer
    x = 734,588.32

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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.