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Finding the Third Proportional to 160,085.25 and 214,218

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Solution

The third proportional to 160,085.25 and 214,218 is: 286,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,085.25 : 214,218 = 214,218 : x
  2. Step 2: Convert to fraction form
    160,085.25/214,218 = 214,218/x
  3. Step 3: Cross multiply
    160,085.25x = 214,218 × 214,218
  4. Step 4: Simplify right side
    160,085.25x = 45,889,351,524
  5. Step 5: Solve for x
    x = 45,889,351,524/160,085.25
  6. Step 6: Final answer
    x = 286,655.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.