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Finding the Third Proportional to 172,932 and 378,666

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Solution

The third proportional to 172,932 and 378,666 is: 829,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,932 : 378,666 = 378,666 : x
  2. Step 2: Convert to fraction form
    172,932/378,666 = 378,666/x
  3. Step 3: Cross multiply
    172,932x = 378,666 × 378,666
  4. Step 4: Simplify right side
    172,932x = 143,387,939,556
  5. Step 5: Solve for x
    x = 143,387,939,556/172,932
  6. Step 6: Final answer
    x = 829,157.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.