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Finding the Third Proportional to 152,914 and 236,188

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Solution

The third proportional to 152,914 and 236,188 is: 364,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,914 : 236,188 = 236,188 : x
  2. Step 2: Convert to fraction form
    152,914/236,188 = 236,188/x
  3. Step 3: Cross multiply
    152,914x = 236,188 × 236,188
  4. Step 4: Simplify right side
    152,914x = 55,784,771,344
  5. Step 5: Solve for x
    x = 55,784,771,344/152,914
  6. Step 6: Final answer
    x = 364,811.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.