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Finding the Third Proportional to 152,740.50 and 233,055

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Solution

The third proportional to 152,740.50 and 233,055 is: 355,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,740.50 : 233,055 = 233,055 : x
  2. Step 2: Convert to fraction form
    152,740.50/233,055 = 233,055/x
  3. Step 3: Cross multiply
    152,740.50x = 233,055 × 233,055
  4. Step 4: Simplify right side
    152,740.50x = 54,314,633,025
  5. Step 5: Solve for x
    x = 54,314,633,025/152,740.50
  6. Step 6: Final answer
    x = 355,600.73

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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.