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Finding the Third Proportional to 160,518 and 214,748

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Solution

The third proportional to 160,518 and 214,748 is: 287,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,518 : 214,748 = 214,748 : x
  2. Step 2: Convert to fraction form
    160,518/214,748 = 214,748/x
  3. Step 3: Cross multiply
    160,518x = 214,748 × 214,748
  4. Step 4: Simplify right side
    160,518x = 46,116,703,504
  5. Step 5: Solve for x
    x = 46,116,703,504/160,518
  6. Step 6: Final answer
    x = 287,299.27

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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.