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Finding the Third Proportional to 191,349 and 417,672

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Solution

The third proportional to 191,349 and 417,672 is: 911,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,349 : 417,672 = 417,672 : x
  2. Step 2: Convert to fraction form
    191,349/417,672 = 417,672/x
  3. Step 3: Cross multiply
    191,349x = 417,672 × 417,672
  4. Step 4: Simplify right side
    191,349x = 174,449,899,584
  5. Step 5: Solve for x
    x = 174,449,899,584/191,349
  6. Step 6: Final answer
    x = 911,684.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.