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Finding the Third Proportional to 134,166.38 and 293,209.88

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Solution

The third proportional to 134,166.38 and 293,209.88 is: 640,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,166.38 : 293,209.88 = 293,209.88 : x
  2. Step 2: Convert to fraction form
    134,166.38/293,209.88 = 293,209.88/x
  3. Step 3: Cross multiply
    134,166.38x = 293,209.88 × 293,209.88
  4. Step 4: Simplify right side
    134,166.38x = 85,972,030,797.52
  5. Step 5: Solve for x
    x = 85,972,030,797.52/134,166.38
  6. Step 6: Final answer
    x = 640,786.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.