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Finding the Third Proportional to 154,801 and 236,635.50

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Solution

The third proportional to 154,801 and 236,635.50 is: 361,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,801 : 236,635.50 = 236,635.50 : x
  2. Step 2: Convert to fraction form
    154,801/236,635.50 = 236,635.50/x
  3. Step 3: Cross multiply
    154,801x = 236,635.50 × 236,635.50
  4. Step 4: Simplify right side
    154,801x = 55,996,359,860.25
  5. Step 5: Solve for x
    x = 55,996,359,860.25/154,801
  6. Step 6: Final answer
    x = 361,731.25

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