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Finding the Third Proportional to 190,435 and 418,232

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Solution

The third proportional to 190,435 and 418,232 is: 918,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,435 : 418,232 = 418,232 : x
  2. Step 2: Convert to fraction form
    190,435/418,232 = 418,232/x
  3. Step 3: Cross multiply
    190,435x = 418,232 × 418,232
  4. Step 4: Simplify right side
    190,435x = 174,918,005,824
  5. Step 5: Solve for x
    x = 174,918,005,824/190,435
  6. Step 6: Final answer
    x = 918,518.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.