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Finding the Third Proportional to 78,618.50 and 169,690.50

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Solution

The third proportional to 78,618.50 and 169,690.50 is: 366,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,618.50 : 169,690.50 = 169,690.50 : x
  2. Step 2: Convert to fraction form
    78,618.50/169,690.50 = 169,690.50/x
  3. Step 3: Cross multiply
    78,618.50x = 169,690.50 × 169,690.50
  4. Step 4: Simplify right side
    78,618.50x = 28,794,865,790.25
  5. Step 5: Solve for x
    x = 28,794,865,790.25/78,618.50
  6. Step 6: Final answer
    x = 366,260.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.