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Finding the Third Proportional to 190,930 and 377,030

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Solution

The third proportional to 190,930 and 377,030 is: 744,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,930 : 377,030 = 377,030 : x
  2. Step 2: Convert to fraction form
    190,930/377,030 = 377,030/x
  3. Step 3: Cross multiply
    190,930x = 377,030 × 377,030
  4. Step 4: Simplify right side
    190,930x = 142,151,620,900
  5. Step 5: Solve for x
    x = 142,151,620,900/190,930
  6. Step 6: Final answer
    x = 744,522.19

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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.