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Finding the Third Proportional to 190,921 and 377,023

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Solution

The third proportional to 190,921 and 377,023 is: 744,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,921 : 377,023 = 377,023 : x
  2. Step 2: Convert to fraction form
    190,921/377,023 = 377,023/x
  3. Step 3: Cross multiply
    190,921x = 377,023 × 377,023
  4. Step 4: Simplify right side
    190,921x = 142,146,342,529
  5. Step 5: Solve for x
    x = 142,146,342,529/190,921
  6. Step 6: Final answer
    x = 744,529.64

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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.