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Finding the Third Proportional to 197,134.50 and 301,615.50

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Solution

The third proportional to 197,134.50 and 301,615.50 is: 461,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,134.50 : 301,615.50 = 301,615.50 : x
  2. Step 2: Convert to fraction form
    197,134.50/301,615.50 = 301,615.50/x
  3. Step 3: Cross multiply
    197,134.50x = 301,615.50 × 301,615.50
  4. Step 4: Simplify right side
    197,134.50x = 90,971,909,840.25
  5. Step 5: Solve for x
    x = 90,971,909,840.25/197,134.50
  6. Step 6: Final answer
    x = 461,471.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.