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Finding the Third Proportional to 191,264 and 420,272

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Solution

The third proportional to 191,264 and 420,272 is: 923,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,264 : 420,272 = 420,272 : x
  2. Step 2: Convert to fraction form
    191,264/420,272 = 420,272/x
  3. Step 3: Cross multiply
    191,264x = 420,272 × 420,272
  4. Step 4: Simplify right side
    191,264x = 176,628,553,984
  5. Step 5: Solve for x
    x = 176,628,553,984/191,264
  6. Step 6: Final answer
    x = 923,480.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.