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Finding the Third Proportional to 152,821 and 236,156

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Solution

The third proportional to 152,821 and 236,156 is: 364,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,821 : 236,156 = 236,156 : x
  2. Step 2: Convert to fraction form
    152,821/236,156 = 236,156/x
  3. Step 3: Cross multiply
    152,821x = 236,156 × 236,156
  4. Step 4: Simplify right side
    152,821x = 55,769,656,336
  5. Step 5: Solve for x
    x = 55,769,656,336/152,821
  6. Step 6: Final answer
    x = 364,934.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.