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Finding the Third Proportional to 190,656 and 443,259

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Solution

The third proportional to 190,656 and 443,259 is: 1,030,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,656 : 443,259 = 443,259 : x
  2. Step 2: Convert to fraction form
    190,656/443,259 = 443,259/x
  3. Step 3: Cross multiply
    190,656x = 443,259 × 443,259
  4. Step 4: Simplify right side
    190,656x = 196,478,541,081
  5. Step 5: Solve for x
    x = 196,478,541,081/190,656
  6. Step 6: Final answer
    x = 1,030,539.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.