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Finding the Third Proportional to 190,645 and 376,502

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Solution

The third proportional to 190,645 and 376,502 is: 743,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,645 : 376,502 = 376,502 : x
  2. Step 2: Convert to fraction form
    190,645/376,502 = 376,502/x
  3. Step 3: Cross multiply
    190,645x = 376,502 × 376,502
  4. Step 4: Simplify right side
    190,645x = 141,753,756,004
  5. Step 5: Solve for x
    x = 141,753,756,004/190,645
  6. Step 6: Final answer
    x = 743,548.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.