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Finding the Third Proportional to 231,111 and 355,077

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Solution

The third proportional to 231,111 and 355,077 is: 545,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,111 : 355,077 = 355,077 : x
  2. Step 2: Convert to fraction form
    231,111/355,077 = 355,077/x
  3. Step 3: Cross multiply
    231,111x = 355,077 × 355,077
  4. Step 4: Simplify right side
    231,111x = 126,079,675,929
  5. Step 5: Solve for x
    x = 126,079,675,929/231,111
  6. Step 6: Final answer
    x = 545,537.32

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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.