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Finding the Third Proportional to 197,198.22 and 425,924.79

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Solution

The third proportional to 197,198.22 and 425,924.79 is: 919,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,198.22 : 425,924.79 = 425,924.79 : x
  2. Step 2: Convert to fraction form
    197,198.22/425,924.79 = 425,924.79/x
  3. Step 3: Cross multiply
    197,198.22x = 425,924.79 × 425,924.79
  4. Step 4: Simplify right side
    197,198.22x = 181,411,927,341.78
  5. Step 5: Solve for x
    x = 181,411,927,341.78/197,198.22
  6. Step 6: Final answer
    x = 919,947.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.