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Finding the Third Proportional to 68,650 and 160,385

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Solution

The third proportional to 68,650 and 160,385 is: 374,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,650 : 160,385 = 160,385 : x
  2. Step 2: Convert to fraction form
    68,650/160,385 = 160,385/x
  3. Step 3: Cross multiply
    68,650x = 160,385 × 160,385
  4. Step 4: Simplify right side
    68,650x = 25,723,348,225
  5. Step 5: Solve for x
    x = 25,723,348,225/68,650
  6. Step 6: Final answer
    x = 374,702.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.