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Finding the Third Proportional to 192,774 and 417,730

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Solution

The third proportional to 192,774 and 417,730 is: 905,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,774 : 417,730 = 417,730 : x
  2. Step 2: Convert to fraction form
    192,774/417,730 = 417,730/x
  3. Step 3: Cross multiply
    192,774x = 417,730 × 417,730
  4. Step 4: Simplify right side
    192,774x = 174,498,352,900
  5. Step 5: Solve for x
    x = 174,498,352,900/192,774
  6. Step 6: Final answer
    x = 905,196.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.