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Finding the Third Proportional to 252,218.81 and 385,716.94

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Solution

The third proportional to 252,218.81 and 385,716.94 is: 589,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,218.81 : 385,716.94 = 385,716.94 : x
  2. Step 2: Convert to fraction form
    252,218.81/385,716.94 = 385,716.94/x
  3. Step 3: Cross multiply
    252,218.81x = 385,716.94 × 385,716.94
  4. Step 4: Simplify right side
    252,218.81x = 148,777,555,874.38
  5. Step 5: Solve for x
    x = 148,777,555,874.38/252,218.81
  6. Step 6: Final answer
    x = 589,874.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.