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Finding the Third Proportional to 188,044 and 391,641

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Solution

The third proportional to 188,044 and 391,641 is: 815,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,044 : 391,641 = 391,641 : x
  2. Step 2: Convert to fraction form
    188,044/391,641 = 391,641/x
  3. Step 3: Cross multiply
    188,044x = 391,641 × 391,641
  4. Step 4: Simplify right side
    188,044x = 153,382,672,881
  5. Step 5: Solve for x
    x = 153,382,672,881/188,044
  6. Step 6: Final answer
    x = 815,674.38

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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.