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Finding the Third Proportional to 152,912 and 236,185

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Solution

The third proportional to 152,912 and 236,185 is: 364,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,912 : 236,185 = 236,185 : x
  2. Step 2: Convert to fraction form
    152,912/236,185 = 236,185/x
  3. Step 3: Cross multiply
    152,912x = 236,185 × 236,185
  4. Step 4: Simplify right side
    152,912x = 55,783,354,225
  5. Step 5: Solve for x
    x = 55,783,354,225/152,912
  6. Step 6: Final answer
    x = 364,806.91

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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.