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Finding the Third Proportional to 194,832.75 and 300,457.13

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Solution

The third proportional to 194,832.75 and 300,457.13 is: 463,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,832.75 : 300,457.13 = 300,457.13 : x
  2. Step 2: Convert to fraction form
    194,832.75/300,457.13 = 300,457.13/x
  3. Step 3: Cross multiply
    194,832.75x = 300,457.13 × 300,457.13
  4. Step 4: Simplify right side
    194,832.75x = 90,274,483,963.27
  5. Step 5: Solve for x
    x = 90,274,483,963.27/194,832.75
  6. Step 6: Final answer
    x = 463,343.48

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Why These Related Problems?

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