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Finding the Third Proportional to 192,816 and 417,810

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Solution

The third proportional to 192,816 and 417,810 is: 905,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816 : 417,810 = 417,810 : x
  2. Step 2: Convert to fraction form
    192,816/417,810 = 417,810/x
  3. Step 3: Cross multiply
    192,816x = 417,810 × 417,810
  4. Step 4: Simplify right side
    192,816x = 174,565,196,100
  5. Step 5: Solve for x
    x = 174,565,196,100/192,816
  6. Step 6: Final answer
    x = 905,346.01

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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.