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Finding the Third Proportional to 192,120 and 417,463

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Solution

The third proportional to 192,120 and 417,463 is: 907,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,120 : 417,463 = 417,463 : x
  2. Step 2: Convert to fraction form
    192,120/417,463 = 417,463/x
  3. Step 3: Cross multiply
    192,120x = 417,463 × 417,463
  4. Step 4: Simplify right side
    192,120x = 174,275,356,369
  5. Step 5: Solve for x
    x = 174,275,356,369/192,120
  6. Step 6: Final answer
    x = 907,117.20

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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.