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Finding the Third Proportional to 197,239.50 and 425,997

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Solution

The third proportional to 197,239.50 and 425,997 is: 920,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,239.50 : 425,997 = 425,997 : x
  2. Step 2: Convert to fraction form
    197,239.50/425,997 = 425,997/x
  3. Step 3: Cross multiply
    197,239.50x = 425,997 × 425,997
  4. Step 4: Simplify right side
    197,239.50x = 181,473,444,009
  5. Step 5: Solve for x
    x = 181,473,444,009/197,239.50
  6. Step 6: Final answer
    x = 920,066.44

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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.