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Finding the Third Proportional to 154,288.50 and 233,073

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Solution

The third proportional to 154,288.50 and 233,073 is: 352,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,288.50 : 233,073 = 233,073 : x
  2. Step 2: Convert to fraction form
    154,288.50/233,073 = 233,073/x
  3. Step 3: Cross multiply
    154,288.50x = 233,073 × 233,073
  4. Step 4: Simplify right side
    154,288.50x = 54,323,023,329
  5. Step 5: Solve for x
    x = 54,323,023,329/154,288.50
  6. Step 6: Final answer
    x = 352,087.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.