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Finding the Third Proportional to 152,408.25 and 237,336.75

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Solution

The third proportional to 152,408.25 and 237,336.75 is: 369,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,408.25 : 237,336.75 = 237,336.75 : x
  2. Step 2: Convert to fraction form
    152,408.25/237,336.75 = 237,336.75/x
  3. Step 3: Cross multiply
    152,408.25x = 237,336.75 × 237,336.75
  4. Step 4: Simplify right side
    152,408.25x = 56,328,732,900.56
  5. Step 5: Solve for x
    x = 56,328,732,900.56/152,408.25
  6. Step 6: Final answer
    x = 369,591.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.