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Finding the Third Proportional to 160,211.25 and 215,664.75

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Solution

The third proportional to 160,211.25 and 215,664.75 is: 290,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,211.25 : 215,664.75 = 215,664.75 : x
  2. Step 2: Convert to fraction form
    160,211.25/215,664.75 = 215,664.75/x
  3. Step 3: Cross multiply
    160,211.25x = 215,664.75 × 215,664.75
  4. Step 4: Simplify right side
    160,211.25x = 46,511,284,392.56
  5. Step 5: Solve for x
    x = 46,511,284,392.56/160,211.25
  6. Step 6: Final answer
    x = 290,312.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.