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Finding the Third Proportional to 134,732.38 and 294,260.38

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Solution

The third proportional to 134,732.38 and 294,260.38 is: 642,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,732.38 : 294,260.38 = 294,260.38 : x
  2. Step 2: Convert to fraction form
    134,732.38/294,260.38 = 294,260.38/x
  3. Step 3: Cross multiply
    134,732.38x = 294,260.38 × 294,260.38
  4. Step 4: Simplify right side
    134,732.38x = 86,589,168,295.14
  5. Step 5: Solve for x
    x = 86,589,168,295.14/134,732.38
  6. Step 6: Final answer
    x = 642,675.29

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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.