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Finding the Third Proportional to 194,252 and 300,004.50

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Solution

The third proportional to 194,252 and 300,004.50 is: 463,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,252 : 300,004.50 = 300,004.50 : x
  2. Step 2: Convert to fraction form
    194,252/300,004.50 = 300,004.50/x
  3. Step 3: Cross multiply
    194,252x = 300,004.50 × 300,004.50
  4. Step 4: Simplify right side
    194,252x = 90,002,700,020.25
  5. Step 5: Solve for x
    x = 90,002,700,020.25/194,252
  6. Step 6: Final answer
    x = 463,329.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.