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Finding the Third Proportional to 152,826 and 236,162

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Solution

The third proportional to 152,826 and 236,162 is: 364,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,826 : 236,162 = 236,162 : x
  2. Step 2: Convert to fraction form
    152,826/236,162 = 236,162/x
  3. Step 3: Cross multiply
    152,826x = 236,162 × 236,162
  4. Step 4: Simplify right side
    152,826x = 55,772,490,244
  5. Step 5: Solve for x
    x = 55,772,490,244/152,826
  6. Step 6: Final answer
    x = 364,941.11

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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.