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Finding the Third Proportional to 134,609.06 and 293,667.75

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Solution

The third proportional to 134,609.06 and 293,667.75 is: 640,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,609.06 : 293,667.75 = 293,667.75 : x
  2. Step 2: Convert to fraction form
    134,609.06/293,667.75 = 293,667.75/x
  3. Step 3: Cross multiply
    134,609.06x = 293,667.75 × 293,667.75
  4. Step 4: Simplify right side
    134,609.06x = 86,240,747,390.06
  5. Step 5: Solve for x
    x = 86,240,747,390.06/134,609.06
  6. Step 6: Final answer
    x = 640,675.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.