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Finding the Third Proportional to 192,669.75 and 296,507.25

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Solution

The third proportional to 192,669.75 and 296,507.25 is: 456,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,669.75 : 296,507.25 = 296,507.25 : x
  2. Step 2: Convert to fraction form
    192,669.75/296,507.25 = 296,507.25/x
  3. Step 3: Cross multiply
    192,669.75x = 296,507.25 × 296,507.25
  4. Step 4: Simplify right side
    192,669.75x = 87,916,549,302.56
  5. Step 5: Solve for x
    x = 87,916,549,302.56/192,669.75
  6. Step 6: Final answer
    x = 456,306.97

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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.