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Finding the Third Proportional to 208,518.75 and 455,264.50

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Solution

The third proportional to 208,518.75 and 455,264.50 is: 993,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518.75 : 455,264.50 = 455,264.50 : x
  2. Step 2: Convert to fraction form
    208,518.75/455,264.50 = 455,264.50/x
  3. Step 3: Cross multiply
    208,518.75x = 455,264.50 × 455,264.50
  4. Step 4: Simplify right side
    208,518.75x = 207,265,764,960.25
  5. Step 5: Solve for x
    x = 207,265,764,960.25/208,518.75
  6. Step 6: Final answer
    x = 993,991.02

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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.