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Finding the Third Proportional to 188,051 and 391,655

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Solution

The third proportional to 188,051 and 391,655 is: 815,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,051 : 391,655 = 391,655 : x
  2. Step 2: Convert to fraction form
    188,051/391,655 = 391,655/x
  3. Step 3: Cross multiply
    188,051x = 391,655 × 391,655
  4. Step 4: Simplify right side
    188,051x = 153,393,639,025
  5. Step 5: Solve for x
    x = 153,393,639,025/188,051
  6. Step 6: Final answer
    x = 815,702.33

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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.