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Finding the Third Proportional to 190,882 and 431,257

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Solution

The third proportional to 190,882 and 431,257 is: 974,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,882 : 431,257 = 431,257 : x
  2. Step 2: Convert to fraction form
    190,882/431,257 = 431,257/x
  3. Step 3: Cross multiply
    190,882x = 431,257 × 431,257
  4. Step 4: Simplify right side
    190,882x = 185,982,600,049
  5. Step 5: Solve for x
    x = 185,982,600,049/190,882
  6. Step 6: Final answer
    x = 974,332.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.