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Finding the Third Proportional to 190,381 and 423,314

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Solution

The third proportional to 190,381 and 423,314 is: 941,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,381 : 423,314 = 423,314 : x
  2. Step 2: Convert to fraction form
    190,381/423,314 = 423,314/x
  3. Step 3: Cross multiply
    190,381x = 423,314 × 423,314
  4. Step 4: Simplify right side
    190,381x = 179,194,742,596
  5. Step 5: Solve for x
    x = 179,194,742,596/190,381
  6. Step 6: Final answer
    x = 941,242.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.