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Finding the Third Proportional to 178,384 and 237,932

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Solution

The third proportional to 178,384 and 237,932 is: 317,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,384 : 237,932 = 237,932 : x
  2. Step 2: Convert to fraction form
    178,384/237,932 = 237,932/x
  3. Step 3: Cross multiply
    178,384x = 237,932 × 237,932
  4. Step 4: Simplify right side
    178,384x = 56,611,636,624
  5. Step 5: Solve for x
    x = 56,611,636,624/178,384
  6. Step 6: Final answer
    x = 317,358.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.