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Finding the Third Proportional to 252,252.56 and 377,684.44

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Solution

The third proportional to 252,252.56 and 377,684.44 is: 565,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,252.56 : 377,684.44 = 377,684.44 : x
  2. Step 2: Convert to fraction form
    252,252.56/377,684.44 = 377,684.44/x
  3. Step 3: Cross multiply
    252,252.56x = 377,684.44 × 377,684.44
  4. Step 4: Simplify right side
    252,252.56x = 142,645,534,329.69
  5. Step 5: Solve for x
    x = 142,645,534,329.69/252,252.56
  6. Step 6: Final answer
    x = 565,486.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.