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Finding the Third Proportional to 231,036 and 354,968

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Solution

The third proportional to 231,036 and 354,968 is: 545,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,036 : 354,968 = 354,968 : x
  2. Step 2: Convert to fraction form
    231,036/354,968 = 354,968/x
  3. Step 3: Cross multiply
    231,036x = 354,968 × 354,968
  4. Step 4: Simplify right side
    231,036x = 126,002,281,024
  5. Step 5: Solve for x
    x = 126,002,281,024/231,036
  6. Step 6: Final answer
    x = 545,379.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.