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Finding the Third Proportional to 160,593.75 and 211,230

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Solution

The third proportional to 160,593.75 and 211,230 is: 277,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,593.75 : 211,230 = 211,230 : x
  2. Step 2: Convert to fraction form
    160,593.75/211,230 = 211,230/x
  3. Step 3: Cross multiply
    160,593.75x = 211,230 × 211,230
  4. Step 4: Simplify right side
    160,593.75x = 44,618,112,900
  5. Step 5: Solve for x
    x = 44,618,112,900/160,593.75
  6. Step 6: Final answer
    x = 277,832.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.