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Finding the Third Proportional to 158,598 and 231,942

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Solution

The third proportional to 158,598 and 231,942 is: 339,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 231,942 = 231,942 : x
  2. Step 2: Convert to fraction form
    158,598/231,942 = 231,942/x
  3. Step 3: Cross multiply
    158,598x = 231,942 × 231,942
  4. Step 4: Simplify right side
    158,598x = 53,797,091,364
  5. Step 5: Solve for x
    x = 53,797,091,364/158,598
  6. Step 6: Final answer
    x = 339,204.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.