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Finding the Third Proportional to 90,492.50 and 198,754

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Solution

The third proportional to 90,492.50 and 198,754 is: 436,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,492.50 : 198,754 = 198,754 : x
  2. Step 2: Convert to fraction form
    90,492.50/198,754 = 198,754/x
  3. Step 3: Cross multiply
    90,492.50x = 198,754 × 198,754
  4. Step 4: Simplify right side
    90,492.50x = 39,503,152,516
  5. Step 5: Solve for x
    x = 39,503,152,516/90,492.50
  6. Step 6: Final answer
    x = 436,535.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.