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Finding the Third Proportional to 160,516 and 214,745

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Solution

The third proportional to 160,516 and 214,745 is: 287,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,516 : 214,745 = 214,745 : x
  2. Step 2: Convert to fraction form
    160,516/214,745 = 214,745/x
  3. Step 3: Cross multiply
    160,516x = 214,745 × 214,745
  4. Step 4: Simplify right side
    160,516x = 46,115,415,025
  5. Step 5: Solve for x
    x = 46,115,415,025/160,516
  6. Step 6: Final answer
    x = 287,294.82

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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.