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Finding the Third Proportional to 190,177.50 and 296,171.34

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Solution

The third proportional to 190,177.50 and 296,171.34 is: 461,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,177.50 : 296,171.34 = 296,171.34 : x
  2. Step 2: Convert to fraction form
    190,177.50/296,171.34 = 296,171.34/x
  3. Step 3: Cross multiply
    190,177.50x = 296,171.34 × 296,171.34
  4. Step 4: Simplify right side
    190,177.50x = 87,717,464,858.68
  5. Step 5: Solve for x
    x = 87,717,464,858.68/190,177.50
  6. Step 6: Final answer
    x = 461,239.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.