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Finding the Third Proportional to 160,832.50 and 343,039

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Solution

The third proportional to 160,832.50 and 343,039 is: 731,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,832.50 : 343,039 = 343,039 : x
  2. Step 2: Convert to fraction form
    160,832.50/343,039 = 343,039/x
  3. Step 3: Cross multiply
    160,832.50x = 343,039 × 343,039
  4. Step 4: Simplify right side
    160,832.50x = 117,675,755,521
  5. Step 5: Solve for x
    x = 117,675,755,521/160,832.50
  6. Step 6: Final answer
    x = 731,666.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.