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Finding the Third Proportional to 154,932 and 236,850

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Solution

The third proportional to 154,932 and 236,850 is: 362,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,932 : 236,850 = 236,850 : x
  2. Step 2: Convert to fraction form
    154,932/236,850 = 236,850/x
  3. Step 3: Cross multiply
    154,932x = 236,850 × 236,850
  4. Step 4: Simplify right side
    154,932x = 56,097,922,500
  5. Step 5: Solve for x
    x = 56,097,922,500/154,932
  6. Step 6: Final answer
    x = 362,080.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.