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Finding the Third Proportional to 86,518.50 and 185,340

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Solution

The third proportional to 86,518.50 and 185,340 is: 397,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,518.50 : 185,340 = 185,340 : x
  2. Step 2: Convert to fraction form
    86,518.50/185,340 = 185,340/x
  3. Step 3: Cross multiply
    86,518.50x = 185,340 × 185,340
  4. Step 4: Simplify right side
    86,518.50x = 34,350,915,600
  5. Step 5: Solve for x
    x = 34,350,915,600/86,518.50
  6. Step 6: Final answer
    x = 397,035.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.