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Finding the Third Proportional to 190,636 and 376,487

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Solution

The third proportional to 190,636 and 376,487 is: 743,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,636 : 376,487 = 376,487 : x
  2. Step 2: Convert to fraction form
    190,636/376,487 = 376,487/x
  3. Step 3: Cross multiply
    190,636x = 376,487 × 376,487
  4. Step 4: Simplify right side
    190,636x = 141,742,461,169
  5. Step 5: Solve for x
    x = 141,742,461,169/190,636
  6. Step 6: Final answer
    x = 743,524.10

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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.