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Finding the Third Proportional to 234,986 and 357,996

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Solution

The third proportional to 234,986 and 357,996 is: 545,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,986 : 357,996 = 357,996 : x
  2. Step 2: Convert to fraction form
    234,986/357,996 = 357,996/x
  3. Step 3: Cross multiply
    234,986x = 357,996 × 357,996
  4. Step 4: Simplify right side
    234,986x = 128,161,136,016
  5. Step 5: Solve for x
    x = 128,161,136,016/234,986
  6. Step 6: Final answer
    x = 545,399.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.