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Finding the Third Proportional to 160,658 and 214,635

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Solution

The third proportional to 160,658 and 214,635 is: 286,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,658 : 214,635 = 214,635 : x
  2. Step 2: Convert to fraction form
    160,658/214,635 = 214,635/x
  3. Step 3: Cross multiply
    160,658x = 214,635 × 214,635
  4. Step 4: Simplify right side
    160,658x = 46,068,183,225
  5. Step 5: Solve for x
    x = 46,068,183,225/160,658
  6. Step 6: Final answer
    x = 286,746.90

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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.