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Finding the Third Proportional to 221,494.50 and 343,617

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Solution

The third proportional to 221,494.50 and 343,617 is: 533,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,494.50 : 343,617 = 343,617 : x
  2. Step 2: Convert to fraction form
    221,494.50/343,617 = 343,617/x
  3. Step 3: Cross multiply
    221,494.50x = 343,617 × 343,617
  4. Step 4: Simplify right side
    221,494.50x = 118,072,642,689
  5. Step 5: Solve for x
    x = 118,072,642,689/221,494.50
  6. Step 6: Final answer
    x = 533,072.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.