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Finding the Third Proportional to 178,022 and 237,801

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Solution

The third proportional to 178,022 and 237,801 is: 317,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,022 : 237,801 = 237,801 : x
  2. Step 2: Convert to fraction form
    178,022/237,801 = 237,801/x
  3. Step 3: Cross multiply
    178,022x = 237,801 × 237,801
  4. Step 4: Simplify right side
    178,022x = 56,549,315,601
  5. Step 5: Solve for x
    x = 56,549,315,601/178,022
  6. Step 6: Final answer
    x = 317,653.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.