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Finding the Third Proportional to 190,774.13 and 303,673.13

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Solution

The third proportional to 190,774.13 and 303,673.13 is: 483,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,774.13 : 303,673.13 = 303,673.13 : x
  2. Step 2: Convert to fraction form
    190,774.13/303,673.13 = 303,673.13/x
  3. Step 3: Cross multiply
    190,774.13x = 303,673.13 × 303,673.13
  4. Step 4: Simplify right side
    190,774.13x = 92,217,366,847.27
  5. Step 5: Solve for x
    x = 92,217,366,847.27/190,774.13
  6. Step 6: Final answer
    x = 483,385.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.