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Finding the Third Proportional to 188,416 and 272,464

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Solution

The third proportional to 188,416 and 272,464 is: 394,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,416 : 272,464 = 272,464 : x
  2. Step 2: Convert to fraction form
    188,416/272,464 = 272,464/x
  3. Step 3: Cross multiply
    188,416x = 272,464 × 272,464
  4. Step 4: Simplify right side
    188,416x = 74,236,631,296
  5. Step 5: Solve for x
    x = 74,236,631,296/188,416
  6. Step 6: Final answer
    x = 394,003.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.