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Finding the Third Proportional to 160,512 and 214,739

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Solution

The third proportional to 160,512 and 214,739 is: 287,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,512 : 214,739 = 214,739 : x
  2. Step 2: Convert to fraction form
    160,512/214,739 = 214,739/x
  3. Step 3: Cross multiply
    160,512x = 214,739 × 214,739
  4. Step 4: Simplify right side
    160,512x = 46,112,838,121
  5. Step 5: Solve for x
    x = 46,112,838,121/160,512
  6. Step 6: Final answer
    x = 287,285.92

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