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Finding the Third Proportional to 221,595.75 and 364,061.25

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Solution

The third proportional to 221,595.75 and 364,061.25 is: 598,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,595.75 : 364,061.25 = 364,061.25 : x
  2. Step 2: Convert to fraction form
    221,595.75/364,061.25 = 364,061.25/x
  3. Step 3: Cross multiply
    221,595.75x = 364,061.25 × 364,061.25
  4. Step 4: Simplify right side
    221,595.75x = 132,540,593,751.56
  5. Step 5: Solve for x
    x = 132,540,593,751.56/221,595.75
  6. Step 6: Final answer
    x = 598,118.84

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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.