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Finding the Third Proportional to 194,703.75 and 294,850.13

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Solution

The third proportional to 194,703.75 and 294,850.13 is: 446,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,703.75 : 294,850.13 = 294,850.13 : x
  2. Step 2: Convert to fraction form
    194,703.75/294,850.13 = 294,850.13/x
  3. Step 3: Cross multiply
    194,703.75x = 294,850.13 × 294,850.13
  4. Step 4: Simplify right side
    194,703.75x = 86,936,596,212.52
  5. Step 5: Solve for x
    x = 86,936,596,212.52/194,703.75
  6. Step 6: Final answer
    x = 446,507.05

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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.