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Finding the Third Proportional to 190,012 and 300,862

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Solution

The third proportional to 190,012 and 300,862 is: 476,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,012 : 300,862 = 300,862 : x
  2. Step 2: Convert to fraction form
    190,012/300,862 = 300,862/x
  3. Step 3: Cross multiply
    190,012x = 300,862 × 300,862
  4. Step 4: Simplify right side
    190,012x = 90,517,943,044
  5. Step 5: Solve for x
    x = 90,517,943,044/190,012
  6. Step 6: Final answer
    x = 476,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.