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Finding the Third Proportional to 190,323 and 418,317.75

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Solution

The third proportional to 190,323 and 418,317.75 is: 919,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,323 : 418,317.75 = 418,317.75 : x
  2. Step 2: Convert to fraction form
    190,323/418,317.75 = 418,317.75/x
  3. Step 3: Cross multiply
    190,323x = 418,317.75 × 418,317.75
  4. Step 4: Simplify right side
    190,323x = 174,989,739,965.06
  5. Step 5: Solve for x
    x = 174,989,739,965.06/190,323
  6. Step 6: Final answer
    x = 919,435.59

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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.