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Finding the Third Proportional to 190,874 and 431,237

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Solution

The third proportional to 190,874 and 431,237 is: 974,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,874 : 431,237 = 431,237 : x
  2. Step 2: Convert to fraction form
    190,874/431,237 = 431,237/x
  3. Step 3: Cross multiply
    190,874x = 431,237 × 431,237
  4. Step 4: Simplify right side
    190,874x = 185,965,350,169
  5. Step 5: Solve for x
    x = 185,965,350,169/190,874
  6. Step 6: Final answer
    x = 974,283.30

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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.