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Finding the Third Proportional to 190,431 and 418,223.25

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Solution

The third proportional to 190,431 and 418,223.25 is: 918,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,431 : 418,223.25 = 418,223.25 : x
  2. Step 2: Convert to fraction form
    190,431/418,223.25 = 418,223.25/x
  3. Step 3: Cross multiply
    190,431x = 418,223.25 × 418,223.25
  4. Step 4: Simplify right side
    190,431x = 174,910,686,840.56
  5. Step 5: Solve for x
    x = 174,910,686,840.56/190,431
  6. Step 6: Final answer
    x = 918,499.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.