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Finding the Third Proportional to 134,043.75 and 294,654.38

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Solution

The third proportional to 134,043.75 and 294,654.38 is: 647,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,043.75 : 294,654.38 = 294,654.38 : x
  2. Step 2: Convert to fraction form
    134,043.75/294,654.38 = 294,654.38/x
  3. Step 3: Cross multiply
    134,043.75x = 294,654.38 × 294,654.38
  4. Step 4: Simplify right side
    134,043.75x = 86,821,200,706.64
  5. Step 5: Solve for x
    x = 86,821,200,706.64/134,043.75
  6. Step 6: Final answer
    x = 647,707.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.