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Finding the Third Proportional to 167,376 and 361,032

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Solution

The third proportional to 167,376 and 361,032 is: 778,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,376 : 361,032 = 361,032 : x
  2. Step 2: Convert to fraction form
    167,376/361,032 = 361,032/x
  3. Step 3: Cross multiply
    167,376x = 361,032 × 361,032
  4. Step 4: Simplify right side
    167,376x = 130,344,105,024
  5. Step 5: Solve for x
    x = 130,344,105,024/167,376
  6. Step 6: Final answer
    x = 778,750.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.