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Finding the Third Proportional to 221,926.50 and 343,247.63

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Solution

The third proportional to 221,926.50 and 343,247.63 is: 530,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,926.50 : 343,247.63 = 343,247.63 : x
  2. Step 2: Convert to fraction form
    221,926.50/343,247.63 = 343,247.63/x
  3. Step 3: Cross multiply
    221,926.50x = 343,247.63 × 343,247.63
  4. Step 4: Simplify right side
    221,926.50x = 117,818,932,068.14
  5. Step 5: Solve for x
    x = 117,818,932,068.14/221,926.50
  6. Step 6: Final answer
    x = 530,891.68

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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.