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Finding the Third Proportional to 190,032 and 401,424

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Solution

The third proportional to 190,032 and 401,424 is: 847,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,032 : 401,424 = 401,424 : x
  2. Step 2: Convert to fraction form
    190,032/401,424 = 401,424/x
  3. Step 3: Cross multiply
    190,032x = 401,424 × 401,424
  4. Step 4: Simplify right side
    190,032x = 161,141,227,776
  5. Step 5: Solve for x
    x = 161,141,227,776/190,032
  6. Step 6: Final answer
    x = 847,968.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.