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Finding the Third Proportional to 190,921.50 and 377,023.50

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Solution

The third proportional to 190,921.50 and 377,023.50 is: 744,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,921.50 : 377,023.50 = 377,023.50 : x
  2. Step 2: Convert to fraction form
    190,921.50/377,023.50 = 377,023.50/x
  3. Step 3: Cross multiply
    190,921.50x = 377,023.50 × 377,023.50
  4. Step 4: Simplify right side
    190,921.50x = 142,146,719,552.25
  5. Step 5: Solve for x
    x = 142,146,719,552.25/190,921.50
  6. Step 6: Final answer
    x = 744,529.66

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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.