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Finding the Third Proportional to 151,534 and 231,913

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Solution

The third proportional to 151,534 and 231,913 is: 354,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,534 : 231,913 = 231,913 : x
  2. Step 2: Convert to fraction form
    151,534/231,913 = 231,913/x
  3. Step 3: Cross multiply
    151,534x = 231,913 × 231,913
  4. Step 4: Simplify right side
    151,534x = 53,783,639,569
  5. Step 5: Solve for x
    x = 53,783,639,569/151,534
  6. Step 6: Final answer
    x = 354,927.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.