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Finding the Third Proportional to 194,410.13 and 294,333.75

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Solution

The third proportional to 194,410.13 and 294,333.75 is: 445,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,410.13 : 294,333.75 = 294,333.75 : x
  2. Step 2: Convert to fraction form
    194,410.13/294,333.75 = 294,333.75/x
  3. Step 3: Cross multiply
    194,410.13x = 294,333.75 × 294,333.75
  4. Step 4: Simplify right side
    194,410.13x = 86,632,356,389.06
  5. Step 5: Solve for x
    x = 86,632,356,389.06/194,410.13
  6. Step 6: Final answer
    x = 445,616.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.