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Finding the Third Proportional to 190,123.75 and 413,090.75

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Solution

The third proportional to 190,123.75 and 413,090.75 is: 897,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,123.75 : 413,090.75 = 413,090.75 : x
  2. Step 2: Convert to fraction form
    190,123.75/413,090.75 = 413,090.75/x
  3. Step 3: Cross multiply
    190,123.75x = 413,090.75 × 413,090.75
  4. Step 4: Simplify right side
    190,123.75x = 170,643,967,735.56
  5. Step 5: Solve for x
    x = 170,643,967,735.56/190,123.75
  6. Step 6: Final answer
    x = 897,541.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.