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Finding the Third Proportional to 167,476 and 378,730

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Solution

The third proportional to 167,476 and 378,730 is: 856,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,476 : 378,730 = 378,730 : x
  2. Step 2: Convert to fraction form
    167,476/378,730 = 378,730/x
  3. Step 3: Cross multiply
    167,476x = 378,730 × 378,730
  4. Step 4: Simplify right side
    167,476x = 143,436,412,900
  5. Step 5: Solve for x
    x = 143,436,412,900/167,476
  6. Step 6: Final answer
    x = 856,459.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.