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Finding the Third Proportional to 78,096 and 170,328

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Solution

The third proportional to 78,096 and 170,328 is: 371,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096 : 170,328 = 170,328 : x
  2. Step 2: Convert to fraction form
    78,096/170,328 = 170,328/x
  3. Step 3: Cross multiply
    78,096x = 170,328 × 170,328
  4. Step 4: Simplify right side
    78,096x = 29,011,627,584
  5. Step 5: Solve for x
    x = 29,011,627,584/78,096
  6. Step 6: Final answer
    x = 371,486.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.