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Finding the Third Proportional to 192,526 and 417,127

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Solution

The third proportional to 192,526 and 417,127 is: 903,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,526 : 417,127 = 417,127 : x
  2. Step 2: Convert to fraction form
    192,526/417,127 = 417,127/x
  3. Step 3: Cross multiply
    192,526x = 417,127 × 417,127
  4. Step 4: Simplify right side
    192,526x = 173,994,934,129
  5. Step 5: Solve for x
    x = 173,994,934,129/192,526
  6. Step 6: Final answer
    x = 903,747.72

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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.