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Finding the Third Proportional to 190,340 and 423,235

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Solution

The third proportional to 190,340 and 423,235 is: 941,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,340 : 423,235 = 423,235 : x
  2. Step 2: Convert to fraction form
    190,340/423,235 = 423,235/x
  3. Step 3: Cross multiply
    190,340x = 423,235 × 423,235
  4. Step 4: Simplify right side
    190,340x = 179,127,865,225
  5. Step 5: Solve for x
    x = 179,127,865,225/190,340
  6. Step 6: Final answer
    x = 941,094.17

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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.