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Finding the Third Proportional to 197,945 and 431,615.50

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Solution

The third proportional to 197,945 and 431,615.50 is: 941,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,945 : 431,615.50 = 431,615.50 : x
  2. Step 2: Convert to fraction form
    197,945/431,615.50 = 431,615.50/x
  3. Step 3: Cross multiply
    197,945x = 431,615.50 × 431,615.50
  4. Step 4: Simplify right side
    197,945x = 186,291,939,840.25
  5. Step 5: Solve for x
    x = 186,291,939,840.25/197,945
  6. Step 6: Final answer
    x = 941,129.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.