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Finding the Third Proportional to 78,804 and 170,736

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Solution

The third proportional to 78,804 and 170,736 is: 369,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,804 : 170,736 = 170,736 : x
  2. Step 2: Convert to fraction form
    78,804/170,736 = 170,736/x
  3. Step 3: Cross multiply
    78,804x = 170,736 × 170,736
  4. Step 4: Simplify right side
    78,804x = 29,150,781,696
  5. Step 5: Solve for x
    x = 29,150,781,696/78,804
  6. Step 6: Final answer
    x = 369,915.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.