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Finding the Third Proportional to 188,057 and 391,666

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Solution

The third proportional to 188,057 and 391,666 is: 815,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,057 : 391,666 = 391,666 : x
  2. Step 2: Convert to fraction form
    188,057/391,666 = 391,666/x
  3. Step 3: Cross multiply
    188,057x = 391,666 × 391,666
  4. Step 4: Simplify right side
    188,057x = 153,402,255,556
  5. Step 5: Solve for x
    x = 153,402,255,556/188,057
  6. Step 6: Final answer
    x = 815,722.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.