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Finding the Third Proportional to 236,589.50 and 357,707

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Solution

The third proportional to 236,589.50 and 357,707 is: 540,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,589.50 : 357,707 = 357,707 : x
  2. Step 2: Convert to fraction form
    236,589.50/357,707 = 357,707/x
  3. Step 3: Cross multiply
    236,589.50x = 357,707 × 357,707
  4. Step 4: Simplify right side
    236,589.50x = 127,954,297,849
  5. Step 5: Solve for x
    x = 127,954,297,849/236,589.50
  6. Step 6: Final answer
    x = 540,828.30

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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.