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Finding the Third Proportional to 191,354 and 417,682

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Solution

The third proportional to 191,354 and 417,682 is: 911,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,354 : 417,682 = 417,682 : x
  2. Step 2: Convert to fraction form
    191,354/417,682 = 417,682/x
  3. Step 3: Cross multiply
    191,354x = 417,682 × 417,682
  4. Step 4: Simplify right side
    191,354x = 174,458,253,124
  5. Step 5: Solve for x
    x = 174,458,253,124/191,354
  6. Step 6: Final answer
    x = 911,704.24

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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.