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Finding the Third Proportional to 221,568.50 and 343,733

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Solution

The third proportional to 221,568.50 and 343,733 is: 533,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,568.50 : 343,733 = 343,733 : x
  2. Step 2: Convert to fraction form
    221,568.50/343,733 = 343,733/x
  3. Step 3: Cross multiply
    221,568.50x = 343,733 × 343,733
  4. Step 4: Simplify right side
    221,568.50x = 118,152,375,289
  5. Step 5: Solve for x
    x = 118,152,375,289/221,568.50
  6. Step 6: Final answer
    x = 533,254.39

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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.