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Finding the Third Proportional to 221,596.13 and 364,063.13

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Solution

The third proportional to 221,596.13 and 364,063.13 is: 598,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,596.13 : 364,063.13 = 364,063.13 : x
  2. Step 2: Convert to fraction form
    221,596.13/364,063.13 = 364,063.13/x
  3. Step 3: Cross multiply
    221,596.13x = 364,063.13 × 364,063.13
  4. Step 4: Simplify right side
    221,596.13x = 132,541,958,984.77
  5. Step 5: Solve for x
    x = 132,541,958,984.77/221,596.13
  6. Step 6: Final answer
    x = 598,123.99

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.